Question

solve for r.
\sqrt{-r} - 18 = -17
r = \boxed{}

Explanation:

Step1: Isolate the radical term

$\sqrt{-r - 18} = -17$

Step2: Square both sides

$(\sqrt{-r - 18})^2 = (-17)^2$
$-r - 18 = 289$

Step3: Solve for $-r$

$-r = 289 + 18$
$-r = 307$

Step4: Find $r$

$r = -307$

Step5: Verify the solution

Substitute $r=-307$ into the original equation:
$\sqrt{-(-307) - 18} = \sqrt{307 - 18} = \sqrt{289} = 17$
Since $17
eq -17$, the solution is extraneous.

Answer:

No real solution