Solve Quadratic Equations by the Square Root Property
Solve the equation by the square root property.
-$$( x - 7 ) ^ { 2 } = - 6$$
A) $\{ 7 \pm i \sqrt { 6 } \}$
B) $\{ 7 \pm \sqrt { 6 } \}$
C) $\{ - 7 \pm 6 i \}$
D) $\{ 1,13 \}$

Question

Quizplus · Accepted Answer

The equation $(x - 7)^2 = -6$ implies $x - 7 = \pm \sqrt{-6}$. Since $\sqrt{-6} = \sqrt{6}i$, the solutions are $x = 7 \pm \sqrt{6}i$, which matches choice A.

Solve Quadratic Equations by the Square Root Property Solve the Equation

Solve Quadratic Equations by the Square Root Property
Solve the Equation