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2 years ago

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

Mathematics

2 answers:

Naily [24]2 years ago

5 0

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

Ket [755]2 years ago

4 0

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.

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