Solve the equation below by factoring. $x ^ { 2 } - 49 = 0$
A) $x = - 7$ and $x = 7$
B) $x = 7$
C) $x = - 7$
D) $x = 0$ and $x = 7$
E) $x = - 7$ and $x = 0$

Question

Quizplus · Accepted Answer

We can factor the equation as:

$$x ^ { 2 } - 49 = 0 \Rightarrow (x-7)(x+7)=0$$

Using the zero product property, we get:

$$x-7=0 	ext{ or } x+7=0$$

which gives us:

$$x=7 	ext{ or } x=-7$$

Thus, the answer is choice A.

Solve the Equation Below by Factoring x2−49=0x ^ { 2 } - 49 = 0x2−49=0

Solve the Equation Below by Factoring $x ^ { 2 } - 49 = 0$