Question

Find the solutions to the equation below check all that apply

Answer 1

Answer:  The required correct options are

(B) x = -3  and  (E) x = 3.

Step-by-step explanation:  We are given to find the solutions to the following quadratic equation :

$x^2-9=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Since the given equation does not involve the term with x, so we will be using the method of square root to solve the equation.

The solution of equation (i) is as follows :

$x^2-9=0\\\\\Rightarrow x^2=9\\\\\Rightarrow x=\pm\sqrt{9}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{taking square roo on both sides}]\\\\\Rightarrow x=\pm3\\\\\Rightarrow x=3,~~x=-3.$

Thus, the required correct options are

(B) x = -3  and  (E) x = 3.

Answer 2

Let's run down the list of answers and figure out which numbers work.

1^2 is 2, 2 - 9 = -7, so not A.

-3^2 is -9, -9 - 9 = 0, so not B.

2^2 is 4, 4 - 9 = -5, so not C.

-2^2 is -4, -4 - 9 = -13, so not D.

3^2 is 9, 9 - 9 = 0, so E is one answer.

-1^2 is -1, -1 - 9 = -10, so not F.

So, E will be your answer. Hope that helps!