SOLUTION: which equation has the same solution as x^2-10x-15=0 1. (x-5)^2=5 2.(x+5)^2=5 3.(x-5)^2=40 4.(x+5)^2=40

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: which equation has the same solution as x^2-10x-15=0 1. (x-5)^2=5 2.(x+5)^2=5 3.(x-5)^2=40 4.(x+5)^2=40      Log On


   

Question 1112367: which equation has the same solution as x^2-10x-15=0
1. (x-5)^2=5
2.(x+5)^2=5
3.(x-5)^2=40
4.(x+5)^2=40
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
ONE WAY:
%28x%2B5%29%5E2=x%5E2%2B10x%2B25 so options 2 and 4 will turn into x%5E2%2B10x%2Bsomething=0 ,
which cannot have the same solutions as
x%5E2-10x%2A155=0 .

%28x-5%29%5E2=x%5E2-10x%2B25 so options 2 and 4 will turn into x%5E2-10x%2Bsomething=0 ,
which would be the same equation,
and have the same solutions as
x%5E2-10x-15=0 , when something=-15 .

%28x-5%29%5E2=5 <--> x%5E2-10x%2B25=5 <--> x%5E2-10x%2B25-5=0 <--> x%5E2-10x%2B20=0
does not have the same solutions as x%5E2-10x-15=0 .

%28x-5%29%5E2=40 <--> x%5E2-10x%2B25=40 <--> x%5E2-10x%2B25-40=0 <--> x%5E2-10x-15=0
is the same equation and has the same solutions as x%5E2-10x-15=0 .

THE EXPECTED WAY FOR SHOW-YOUR-WORK QUESTIONS:
x%5E2-10x-15=0
x%5E2-10x=15
x%5E2-10x%2B25=15%2B25
%28x-5%29%5E2=40