Question

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

Answer 1

q = - 9

Explanation:

Given

`√(9-9q)` =
`√(-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

`√(9-9(-9))` =
`√(9+81)` =
`√(90)` and

`√(-10(-9))` =
`√(90)`

Thus solution is q = - 9