Question

if [(x+1)/(x-3)]^1/2 = [(x-3)/(x+2)]^1/2
then x will be

Answer 1

The answer is 7/9 .please mark me as brainliest

Answer 2

$[\frac{x+1}{x-3}]^{\frac{1}{2}} = [\frac{x-3}{x+2}]^{\frac{1}{2}} \\ \\ \frac{x+1}{x-3}=\frac{x-3}{x+2} \\ \\ \\ (x+1)(x+2)=(x-3)^2 \\ \\ x^2+3x+2=x^2-6x+9 \\ \\ 3x+2=9-6x \\ \\ 3x+6x=9-2 \\ \\ 9x=7 \\ \\ x=\bold{\frac{7}{9}}$

Steps I used here are ordered below:

1. Squared both sides.
2. Had cross multiplication.
3. Expanded both sides.
4. Subtracted x² from both.
5. Added 6x - 2 to both sides.
6. Divided both sides by 9.

Thank you. Have a nice day. :-))