Question

Which are the roots of the quadratic function f(q) = q2 – 125

Answer 1

Answer:

q = ± 5$\sqrt{5}$

Step-by-step explanation:

Given

q² - 125 = 0 ( add 125 to both sides )

q² = 125 ( take the square root of both sides )

q = ± $\sqrt{125}$

  = ± $\sqrt{25(5)}$

  = ± $\sqrt{25}$ × $\sqrt{5}$

  = ± 5$\sqrt{5}$

Answer 2

Answer:

Roots are $q=5\sqrt{5},-5\sqrt{5}$

Step-by-step explanation:

Given : Function $f(q)=q^2-125$

To find : Which are the roots of the quadratic function ?

Solution :

To find the roots equate the function to zero.

$q^2-125=0$

Add 125 both side,

$q^2=125$

Taking root both side,

$q=\pm \sqrt{125}$

$q=\pm \sqrt{5\times 5\times 5}$

$q=\pm 5\sqrt{5}$

Therefore, roots are $q=5\sqrt{5},-5\sqrt{5}$