Solve the equation.
-$$\sqrt { m + 55 } + 1 = m$$
A) $\{ - 12,9 \}$
B) $\{ - 12 \}$
C) 8
D) $\{ 9 \}$

Question

Quizplus · Accepted Answer

To solve the equation, isolate the square root: $\sqrt{m + 55} = m - 1$. Square both sides to get $m + 55 = (m - 1)^2$. Simplify to $m + 55 = m^2 - 2m + 1$. Rearrange to $m^2 - 3m - 54 = 0$. Factor to $(m - 9)(m + 6) = 0$, giving solutions $m = 9$ and $m = -6$. Check both in the original equation: only $m = 9$ satisfies it.

Solve the Equation m+55+1=m\sqrt { m + 55 } + 1 = mm+55​+1=m

Solve the Equation $\sqrt { m + 55 } + 1 = m$