SOLUTION: solving quadratic equations by extracting square roots. (x-2/5)^2=49/25 is the problem i am having trouble with. i did try to do it. i can't show the root sign to you with my co

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: solving quadratic equations by extracting square roots. (x-2/5)^2=49/25 is the problem i am having trouble with. i did try to do it. i can't show the root sign to you with my co      Log On


   

Question 106860This question is from textbook elementry and intermediate algebra
: solving quadratic equations by extracting square roots.
(x-2/5)^2=49/25 is the problem i am having trouble with.
i did try to do it. i can't show the root sign to you with my computer
to show what i did.
 This question is from textbook elementry and intermediate algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
%28x-2%2F5%29%5E2+=+49%2F25 Extract the square root of both sides.
%28x-2%2F5%29+=+7%2F5 or %28x-2%2F5%29+=+-%287%2F5%29
If %28x-2%2F5%29+=+7%2F5 Add 2%2F5 to both sides.
x+=+9%2F5 or
If %28x-2%2F5%29+=+-%287%2F5%29 Add 2%2F5 to both sides.
x+=+-%285%2F5%29 so x+=+-1
The solutions:
x+=+9%2F5
x+=+-1