Solve the equation.
-$\sqrt { 14 x - 21 } - x = 2$
A)-4
B)4
C)-5
D)5

Name: Solve the equation. -$\sqrt { 14 x - 21 } - x = 2$ A)-4 B)4 C)-5 D)5
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Question

Quizplus · Accepted Answer

Squaring both sides of the equation gives $14x-21-2x^2+2x=4$ or $2x^2-12x+25=0$. Factoring gives $(2x-5)(x-5)=0$, so $x=5$ or $x=\frac{5}{2}$. Since $x=\frac{5}{2}$ does not satisfy the original equation, the only solution is $x=5$.

Solve the Equation 14x−21−x=2\sqrt { 14 x - 21 } - x = 214x−21​−x=2

Solve the Equation $\sqrt { 14 x - 21 } - x = 2$