Question

Solve. Check for extraneous solutions.

Answer 1

\[2\sqrt{x-1} = \sqrt{26+x}\]

Answer 2

Square both sides to get the radical out.

Answer 3

Understand or no?

Answer 4

yeah i get that part but do i square 2 also. can you show me please?

Answer 5

Yes, you do.

\[(2\sqrt{x-1})^2=4(x-1)\]

Answer 6

\[(\sqrt{26+x})^2=26+x\]

Answer 7

4(x-1)=26+x

can you solve for x?

Answer 8

oh yeah so now it will be
4x - 4 = 26 + x
3x = 30
x = 10

THANK YOU SO MUCH NOW I UNDERSTAND

Answer 9

sure thing np