Question

Solve for q \sqrt{9-9q}=\sqrt{-10q}

Answer 1

Answer:

q = - 9

Step-by-step explanation:

Given

$\sqrt{9-9q}$ = $\sqrt{-10q}$

Then the expressions inside the radicals are equal, that is

9 - 9q = - 10q ( add 10q to both sides )

9 + q = 0 ( subtract 9 from both sides )

q = - 9

As a check

$\sqrt{9-9(-9)}$ = $\sqrt{9+81}$ = $\sqrt{90}$ and

$\sqrt{-10(-9)}$ = $\sqrt{90}$

Thus solution is q = - 9