Respuesta :
Answer:
q = ± 5[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Given
q² - 125 = 0 ( add 125 to both sides )
q² = 125 ( take the square root of both sides )
q = ± [tex]\sqrt{125}[/tex]
= ± [tex]\sqrt{25(5)}[/tex]
= ± [tex]\sqrt{25}[/tex] × [tex]\sqrt{5}[/tex]
= ± 5[tex]\sqrt{5}[/tex]
Answer:
Roots are [tex]q=5\sqrt{5},-5\sqrt{5}[/tex]
Step-by-step explanation:
Given : Function [tex]f(q)=q^2-125[/tex]
To find : Which are the roots of the quadratic function ?
Solution :
To find the roots equate the function to zero.
[tex]q^2-125=0[/tex]
Add 125 both side,
[tex]q^2=125[/tex]
Taking root both side,
[tex]q=\pm \sqrt{125}[/tex]
[tex]q=\pm \sqrt{5\times 5\times 5}[/tex]
[tex]q=\pm 5\sqrt{5}[/tex]
Therefore, roots are [tex]q=5\sqrt{5},-5\sqrt{5}[/tex]
