Question

What are the solutions to the quadratic equation x2 – 16 = 0?

Answer 1

X^2-16=0
x^2=16
x=+-4
so the answer is x=4 and x=-4

Answer 2

Answer:  The correct option is (B) x = 4 and x = -4.

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

$x^2-16=0~~~~~~~~~~~~~~~~~~~~~(i)$

Since the coefficient of x is zero in the given equation, so we will be using the method of square root to solve the equation.

From equation (i), we have

$x^2-16=0\\\\\Rightarrow x^2=16\\\\\Rightarrow x=\pm\sqrt{16}~~~~~~~\textup{[taking square root on both sides]}\\\\\Rightarrow x=\pm4\\\\\Rightarrow x=4,~-4.$

Thus, the required solution is x = 4 and x = -4.

Option (B) is correct.