Solve the equation.
-$\sqrt{x+3}=x-3$
A) $\{1,13\}$
B) $\{6,13\}$
C) $\{1,6\}$
D) $\{6\}$

Question

Quizplus · Accepted Answer

Squaring both sides of the equation $\sqrt{x+3}=x-3$ gives $x+3=(x-3)^2$. Simplifying, we get $x+3=x^2-6x+9$, which simplifies further to $x^2-7x+6=0$. Factoring, we get $(x-1)(x-6)=0$, so $x=1$ or $x=6$. However, substituting $x=1$ back into the original equation, we find it does not satisfy the equation, leaving $x=6$ as the only solution.

Solve the Equation x+3=x−3\sqrt{x+3}=x-3x+3​=x−3 A) {1,13}\{1,13\}{1,13} B) {6,13}\{6,13\}{6,13} C) {1,6}\{1,6\}{1,6} D) {6}\{6\}{6}

Solve the Equation $\sqrt{x+3}=x-3$ A) $\{1,13\}$ B) $\{6,13\}$ C) $\{1,6\}$ D) $\{6\}$