Answer:
q = - 9
Step-by-step explanation:
Given
[tex]\sqrt{9-9q}[/tex] = [tex]\sqrt{-10q}[/tex]
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
[tex]\sqrt{9-9(-9)}[/tex] = [tex]\sqrt{9+81}[/tex] = [tex]\sqrt{90}[/tex] and
[tex]\sqrt{-10(-9)}[/tex] = [tex]\sqrt{90}[/tex]
Thus solution is q = - 9
