Solve the equation.
-$\sqrt{2 x+15}-x=6$
A) $\{-3\}$
B) $\{7,-3\}$
C) $\{-7\}$
D) $\{-7,-3\}$

Question

Quizplus · Accepted Answer

To solve the equation $\sqrt{2x + 15} - x = 6$, first isolate the square root term: $\sqrt{2x + 15} = x + 6$. Squaring both sides gives $2x + 15 = x^2 + 12x + 36$. Rearranging, we get $x^2 + 10x + 21 = 0$, which factors to $(x + 3)(x + 7) = 0$, giving $x = -3$ and $x = -7$. However, when we check $x = -7$ in the original equation, it does not satisfy it, leaving $x = -3$ as the only solution.

Solve the Equation 2x+15−x=6\sqrt{2 x+15}-x=62x+15​−x=6 A) {−3}\{-3\}{−3} B) {7,−3}\{7,-3\}{7,−3} C) {−7}\{-7\}{−7} D) {−7,−3}\{-7,-3\}{−7,−3}

Solve the Equation $\sqrt{2 x+15}-x=6$ A) $\{-3\}$ B) $\{7,-3\}$ C) $\{-7\}$ D) $\{-7,-3\}$