Solve each quadratic equation using the method that seems most appropriate. $( x - 4 ) ^ { 2 } = 15$
A) $x = - 4 - \sqrt { 15 } , x = - 4 + \sqrt { 15 }$
B) $x = \sqrt { 15 } - 4 , x = \sqrt { 15 } - 4$
C) $x = 2 + \sqrt { 15 } , x = 2 - \sqrt { 15 }$
D) $x = 4 - \sqrt { 15 } , x = 4 + \sqrt { 15 }$

Question

Quizplus · Accepted Answer

Taking the square root of both sides of the given equation, we get:
$$x-4=\pm\sqrt{15}$$
Adding 4 to both sides, we get:
$$x=4\pm\sqrt{15}$$
So the answer is choice D.

Solve Each Quadratic Equation Using the Method That Seems Most (x−4)2=15( x - 4 ) ^ { 2 } = 15(x−4)2=15

Solve Each Quadratic Equation Using the Method That Seems Most $( x - 4 ) ^ { 2 } = 15$