Question

Solve for x: √x+√(x-20)=10
NEED HELP!!!!

Answer 1

Ok square both sides:
\[2x-20+2\sqrt(x(x-20))=100\]

Isolate the radical:
\[2\sqrt{x(x-20)} = 120 -2x\]

Square again:
\[4(x-20)x=(120-2x)^2\]

Expand terms:

\[4x^2-80x=4x^2-480x+14400\]

Subtract to simplify:
\[400x-14400=0\]

Factor out and divide

x-36=0
So the answer is 36.

Answer 2

Thank You! You're good in math.. I have more questions.. Can you help me to solve it?? (:

Answer 3

If I can have medals, ya

Answer 4

have you received mine?