The solutions to f(x) = 64 is x = 7 and x = –7.
Solution:
Given data:
[tex]$f(x)=x^{2}+15[/tex] – – – – (1)
[tex]f(x)=64[/tex] – – – – (2)
To find the solutions to f(x) = 64.
Equate equation (1) and (2), we get
[tex]x^2+15=64[/tex]
Subtract 15 from both sides of the equation.
[tex]x^2+15-15=64-15[/tex]
[tex]x^2=49[/tex]
[tex]x^2=7^2[/tex]
Taking square root on both sides of the equation, we get
x = ±7
The solutions to f(x) = 64 is x = 7 and x = –7.
