Question

Which are the roots of the quadratic function f(q) = q^2 - 125? Select two options.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

None of the options are correct

Step-by-step explanation:

Given

$f(q) = q^2 - 125$

Required

The roots of the function

Since the function is a quadratic function; to get the roots of the function, f(q) must be equal to 0

$f(q) = q^2 - 125$ becomes

$0 = q^2 - 125$

Make $q^2$ the subject of formula

$125= q^2$

Rearrange

$q^2 = 125$

Take square roots of both sides

$\sqrt{q^2} = \sqrt{125}$

$q = \sqrt{125}$

Expand the square root of 125

$q = \sqrt{25 * 5}$

$q = \sqrt{25} * \sqrt{5}$

q = ±5 $* \sqrt{5}$

Split into 2

$q = 5 * \sqrt{5}$ or $q = -5 * \sqrt{5}$

$q = 5 \sqrt{5}$ or $q = -5 \sqrt{5}$

Hence, the roots of the quadratic function are $q = 5 \sqrt{5}$ or $q = -5 \sqrt{5}$