SOLUTION: Hi, I've come to an unusual answer on a quadratic equation, and I would greatly appreciate if someone could verify it for me, so I know I've done it correctly. The original

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Hi, I've come to an unusual answer on a quadratic equation, and I would greatly appreciate if someone could verify it for me, so I know I've done it correctly. The original      Log On


   

Question 86807: Hi,
I've come to an unusual answer on a quadratic equation, and I would greatly appreciate if someone could verify it for me, so I know I've done it correctly.
The original equation read like this: 2(x-5)^2=3.
After factoring and using the quadratic formula, I came up with two completely different answers, which now has me highly confused as to which one is correct, so any help would be wonderful!
My first answer I came to was this: x = 10+/- sq.rt.6 / 2
My second answer I came to was this:x = 5+/- (3/2)^1/2
Now, I am very confused and lost, and am not sure which answer is correct...or if neither one of them are correct.
Please help!
Thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%28x-5%29%5E2=3

%28x-5%29%5E2=3%2F2 Divide both sides by 2

x-5=sqrt%283%2F2%29 Take the square root of both sides

x=0%2B-sqrt%283%2F2%29%2B5 Add 5 to both sides

So our answer is

x=5%2B-sqrt%283%2F2%29

So you're second answer is correct (its just using different notation)