Use the square root property to solve the equation.
-$$x ^ { 2 } + 14 x + 58 = 0$$
A) $$- 7 + 3 i$$
B) $$- 7 \pm 9 \mathrm { i }$$
C) $$- 7 \pm 3 \mathrm { i }$$
D)-4, -10

Question

Quizplus · Accepted Answer

First, complete the square for the equation $x^2 + 14x + 58 = 0$ to get it into the form $(x + a)^2 = b$. The equation can be rewritten as $x^2 + 14x + 49 = -58 + 49$ to complete the square, which simplifies to $(x + 7)^2 = -9$. Taking the square root of both sides gives $x + 7 = \pm 3i$, so $x = -7 \pm 3i$.

Use the Square Root Property to Solve the Equation x2+14x+58=0x ^ { 2 } + 14 x + 58 = 0x2+14x+58=0

Use the Square Root Property to Solve the Equation $x ^ { 2 } + 14 x + 58 = 0$