Solve the equation by completing the square. $x ^ { 2 } = 14 - 5 x$
A) $x = 1$ , $x = 10$
B) $x = 2$ , $x = 7$
C) $x = - 7$ , $x = 2$
D) $x = - 10$ , $x = 2$
E) $x = 0$ , $x = 1$

Question

Quizplus · Accepted Answer

To complete the square, rewrite the equation as $x^2 + 5x = 14$. Add $(5/2)^2 = 6.25$ to both sides to get $(x + 2.5)^2 = 20.25$. Solving gives $x = -7$ and $x = 2$.

Solve the Equation by Completing the Square x2=14−5xx ^ { 2 } = 14 - 5 xx2=14−5x

Solve the Equation by Completing the Square $x ^ { 2 } = 14 - 5 x$