Solve the equation by the square root property.
-$( x - 3 ) ^ { 2 } = - 3$
A) $\{ 3 \pm \mathrm { i } \sqrt { 3 } \}$
B) $\{ 3 \pm \sqrt { 3 } \}$
C) $\{ - 3 \pm 3 \mathrm { i } \}$
D) $\{ 0,6 \}$

Question

Quizplus · Accepted Answer

The equation $(x - 3)^2 = -3$ can be solved by taking the square root of both sides, leading to $x - 3 = \pm \sqrt{-3}$. Since the square root of a negative number involves the imaginary unit $i$, the solution is $x = 3 \pm i\sqrt{3}$.

Solve the Equation by the Square Root Property (x−3)2=−3( x - 3 ) ^ { 2 } = - 3(x−3)2=−3

Solve the Equation by the Square Root Property $( x - 3 ) ^ { 2 } = - 3$