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POLITICAL THREAD

How will they rule ??!

  • YES - Qualified

    Votes: 41 82.0%
  • NO - Disqualified

    Votes: 9 18.0%

  • Total voters
    50
  • Poll closed .
We moved out to Oldham County in 1976. I was seven at the time. Parents paid $34K for a 2 year old house on 1.3 acres in Borowick Farms. They sold that house in 1999 for $175K and bought a patio home in Fern Creek for $125K. Dad died in 2018, Mom just sold the place for $275K in August of last year.
The OC is hot because it is Jefferson County without JCPS. A lot of folks move there for the free G Schools. I've seen people transfer in from around the country and pick OC unless they can enroll their kids in JC Private schools. JCPS is a pox on our growth.
 
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Solve for m

3 - the square root of (2m +2) = 8

(show your work, no calculators)
I like round roots...they taste better... 🤣

iu
 
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Subtact 3 from both sides and you have:

- the square root of (2m+2) = 5

multiply both sides times - 1 (you don't have to)


the square root of (2m + 2) = -5

2m + 2 = 25


2m = 23

m = 23/2

CHECK:


3 - the square root of (2 x 23/2 + 2) = 8


3 - the square root of 25 = 8

3 - 5 = 8


-2 = 8

-2 does not equal 8 the answer is null

What is the lesson here?*
 
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*It is that RADICALS can often introduce extraneous results. Which, in THIS political climate is very apropos... LOL


See? You've learned some basic math, AND some basic politics, in just a few minutes. That's what I'm here for.

(CatinIL already knows both, but his comment was still pretty damn funny.)
 
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Solve for m

3 - the square root of (2m +2) = 8

(show your work, no calculators)
It's been a long time since any math courses but you'd need the square root section to end up as -5 the way you have it written which would make m=11.5, but how do you specify the negative square root vs the positive one? Would that be a notation thing you left out?
 
It's been a long time since any math courses but you'd need the square root section to end up as -5 the way you have it written which would make m=11.5, but how do you specify the negative square root vs the positive one? Would that be a notation thing you left out?
This is patently false.
 
LOL you don't know your own math. The -1 you did was just to switch from negative to positive because you subtracted 3 from both sides instead of just adding the square root. Has nothing to do with the square root result you need to be -5.

Edit: Showing work:

3 - square root of (2x + 2) =8 Add square root of 2x+2 to both sides =

3 = 8 + SQR(2x + 2) -8 from both sides =

-5 = SQR(2x + 2) square both sides =

25 = 2x +2 -2 both sides =

23 = 2x /2 both sides =

11.5 = x

When you do the check it works with the negative root, -5, but not with the positive root, 5. So you have to specify which root in the initial equation notation or it's not a valid equation right?
 
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m = 23/2

And you're arguing that it's 11.5 ? Are you really doing that? My math is spot on.

I invite you to do it on your own, and come up with mathematically different result. (all of which ignores the actual point, that it's an extraneous solution, you dimwit)
 
- the square root of (2m+2) = 5

square both sides and you get

2m + 2 = 25

the square root of (2m+2) = -5

square both sides and you get

2m +2 = 25
 
Not only would Dion get points taken off for reducing 23/2 to 11.5, but he'd probably get maybe 2 out of 10 for not checking his solution to an equation that contained a radical expression, which is mandatory.
 
- the square root of (2m+2) = 5

square both sides and you get

2m + 2 = 25

the square root of (2m+2) = -5

square both sides and you get

2m +2 = 25
Exactly. Now check your equation with both the positive root and the negative:

3 - SQR(2x + 2) = 8

3 - SQR(2(11.5) + 2) = 8

3 - SQR(23 +2) = 8

3- SQR(25) = 8

positive root: 3 - 5 = -2 not 8

negative root: 3 - -5 = 8

The equation's only valid for the negative root and the way 3 - the square root of (2m +2) is written doesn't specify that.
 
Umm Dion, in equations, you can only use the principle square root.

While - 5 times -5 DOES equal 25, -5 is NOT the square root of 25 Only 5 is. LOL

You're thinking of quadratic equations... bless your heart.
 
Umm Dion, in equations, you can only use the principle square root.

While - 5 times -5 DOES equal 25, -5 is NOT the square root of 25 Only 5 is. LOL
Then your equation isn't valid from the start as it assumes the negative root and not the principle. Exactly as I originally posted.
You're thinking of quadratic equations... bless your heart.
Edit to address your edit: the quadratic equation specifically says b + or - the square root to address the very notation problem we're talking about.
 
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Well, first of all, it was a joke. I said that RADICALS can result in extraneous solutions. But in your haste to erroneously criticize my math skills (which failed miserably), you must have missed it. The answer to the GD problem is NULL... LOL (and I CLEARLY STATED THAT, you dimwit...)
 
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Then your equation isn't valid from the start as it assumes the negative root and not the principle. Exactly as I originally posted.

Edit to address your edit: the quadratic equation specifically says b + or - the square root to address the very notation problem we're talking about.
The only "problem" is between your ears. There is no such "thing" as a "negative root"...
 
Then your equation isn't valid from the start as it assumes the negative root and not the principle. Exactly as I originally posted.

Edit to address your edit: the quadratic equation specifically says b + or - the square root to address the very notation problem we're talking about.

Shut up. You’re more nauseating than cancer: you’re a stupid human being.
 
Exactly. Now check your equation with both the positive root and the negative:

3 - SQR(2x + 2) = 8

3 - SQR(2(11.5) + 2) = 8

3 - SQR(23 +2) = 8

3- SQR(25) = 8

positive root: 3 - 5 = -2 not 8

negative root: 3 - -5 = 8

The equation's only valid for the negative root and the way 3 - the square root of (2m +2) is written doesn't specify that.
lol. Sounds like Whoopie Goldberg math
 
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The only "problem" is between your ears. There is no such "thing" as a "negative root"...
"Every number has two square roots, a positive one and negative one. For example, both 2 and -2 are the square root of 4.
  1. Principal Square Root (Positive Square Root): For any non-negative number (x), the principal square root is denoted as (\sqrt{x}). It is the positive value whose square equals (x). Mathematically, (\sqrt{x} \geq 0).
  2. Negative Square Root: The negative square root of (x) is denoted as (-\sqrt{x}). It is the negative value whose square equals (x). Mathematically, (-\sqrt{x} \leq 0)."

I get you were just making a joke so it's irrelevant, but this is just basic math man.
 
It's 2.37 cubic yards BTW.

8 feet times 4 feet times 2 feet = 64 cubic feet

64/27 (number of cubic feet in a cubic yard) = 2.37 cubic yards. Not, 21. 33 cubic yards... LOL

My word...
Ahh yeah I just divided by 3 to switch the cubic feet into yards, but you have to divide by 3 cubed because it's cubic yards, not regular yards. Makes sense! Again, what's the point here? The first one was for a pun which is perfectly swell, but now what?
 
When it comes to equations, you can ONLY use the principle square root. Everyone already knows that you can multiply a negative 5 times a negative 5 and get 25, but that doesn't make -5 the square root of 25.

5, and ONLY 5, is the square root of 25. LOL

Minus square root refers to subtracting the square root of a number, from another number. You cannot square a number, and end up with a negative number.
 
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LOL you don't know your own math. The -1 you did was just to switch from negative to positive because you subtracted 3 from both sides instead of just adding the square root. Has nothing to do with the square root result you need to be -5.

Edit: Showing work:

3 - square root of (2x + 2) =8 Add square root of 2x+2 to both sides =

3 = 8 + SQR(2x + 2) -8 from both sides =

-5 = SQR(2x + 2) square both sides =

25 = 2x +2 -2 both sides =

23 = 2x /2 both sides =

11.5 = x

When you do the check it works with the negative root, -5, but not with the positive root, 5. So you have to specify which root in the initial equation notation or it's not a valid equation right?
Now y’all are about to FAAFO with an AP Calc hero.
 
Off topic from politics...for anyone that's interested, the ISS will be buzzing over the Louisville area tomorrow at 9:06 PM. Visible:5 min, Max Height: 62 degrees, Appears: NW, Disappears: ESE

👽
 
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The OC is hot because it is Jefferson County without JCPS. A lot of folks move there for the free G Schools. I've seen people transfer in from around the country and pick OC unless they can enroll their kids in JC Private schools. JCPS is a pox on our growth.
My parents moved us out there when forced bussing was implemented and they were going to send me and my sisters to three different schools. Then they ended up putting us in a catholic school after we moved. As if we couldn’t have averted the bussing issue by going private in Louisville. But bussing was what caused Oldham county to grow like it did.
 
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