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OT I put on my best John Urschel LionJim imitation today, I saw the following

sluggo72

Well-Known Member
Aug 31, 2006
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banner AD on some site but it says can you solve this:
X(2) + XY=20
Y(2) + XY=30
where X(2) means x Squared, Y(2) means Y squared, I don't know how to use superscripts here.
so what is X?
What is Y?
basic algebra II!

good luck!
 
banner AD on some site but it says can you solve this:
X(2) + XY=20
Y(2) + XY=30
where X(2) means x Squared, Y(2) means Y squared, I don't know how to use superscripts here.
so what is X?
What is Y?
basic algebra II!

good luck!
I got a headache reading it.
 
You sure that's the right question? You get +/- square roots of 8 for x and +/- square roots of 18 for y. You'd think a banner ad question would have whole number answers
 
Actually 2 of the +/- solutions many students will get are extraneous (wrong). The correct answers to this particular problem are x = 2sqrt(2) and y = 3sqrt(2) OR x = -2sqrt(2) and y = -3sqrt(2), where sqrt(2) is the square root of 2.

The possible solutions x = -2sqrt(2) and y = 3sqrt(2), x = 2sqrt(2) and y = -3sqrt(2) are extraneous since they don't fit in the original equations.
 
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You sure that's the right question? You get +/- square roots of 8 for x and +/- square roots of 18 for y. You'd think a banner ad question would have whole number answers
while I agree with your statement, I don't think your solutions are correct. re run your solutions. (square root of 18 squared + the square root of 18times the square root of 8 =30?)
 
It's correct - square root of 18 times the square root of 8 = 12

irish has a point as well, but i wasn't being exactly exact in my answer :)
 
while I agree with your statement, I don't think your solutions are correct. re run your solutions. (square root of 18 squared + the square root of 18times the square root of 8 =30?)

Square root of 8 is 2√ 2. Square root of 18 is 3√2. Multiply those together, and you get 12 (2*3*√2*√2=2*3*2) add that to 18 and you get 30.
 
Photomath....

wo2ckFlG2lwwo4AENLALoVLasjEEZz8jjMw--6GtdAcMhmaCjJkkry_FYhHO1t2OHA=w300
 
while I agree with your statement, I don't think your solutions are correct. re run your solutions. (square root of 18 squared + the square root of 18times the square root of 8 =30?)

(sqrt(18)^2 + (sqrt(8))(sqrt(18)) = 18 + sqrt(144) = 18 + 12 = 30 which is correct.
 
Actually 2 of the +/- solutions many students will get are extraneous (wrong). The correct answers to this particular problem are x = 2sqrt(2) and y = 3sqrt(2) OR x = -2sqrt(2) and y = -3sqrt(2), where sqrt(2) is the square root of 2.

The possible solutions x = -2sqrt(2) and y = 3sqrt(2), x = 2sqrt(2) and y = -3sqrt(2) are extraneous since they don't fit in the original equations.
Square root of 8 is 2√ 2. Square root of 18 is 3√2. Multiply those together, and you get 12 (2*3*√2*√2=2*3*2) add that to 18 and you get 30.
I stand corrected.
 
I did get an engineering degree from Penn State, you know. ;)
you put your solution in a more eloquent form. I had x =square root of 8, y= 12/square root of 8. Which I now know is the same as 3 times the square root of 8. square root of 8 =2times square root of 2. but the answer is correct, and no where did I say put the answers in 'lowest' forms!! LOL
 
Actually 2 of the +/- solutions many students will get are extraneous (wrong). The correct answers to this particular problem are x = 2sqrt(2) and y = 3sqrt(2) OR x = -2sqrt(2) and y = -3sqrt(2), where sqrt(2) is the square root of 2.

The possible solutions x = -2sqrt(2) and y = 3sqrt(2), x = 2sqrt(2) and y = -3sqrt(2) are extraneous since they don't fit in the original equations.
Reading the answer gave me a headache.
 
Walked my ass off this morning, now sitting down in the Franklin Museum. I'm not as young as I used to be.
Stop at Mace's Crossing for a beer. 17th and Cherry. You're not far. Mace's is an old colonial brick house sitting next to high rises. I guess it's still there.
 
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