Question

f(x)=5(x-2)^2-3
what are the x intercepts

Answer 1

x-intercepts are the zeros of the function.

$f(x)=5(x-2)^2-3$

x-intercepts:

$f(x)=0\to5(x-2)^2-3=0\ \ \ |+3\\\\5(x-2)^2=3\ \ \ |:5\\\\(x-2)^2=0.6\to x-2=\pm\sqrt{0.6}\ \ \ \ |+2\\\\x=2-\sqrt{0.6}\ \vee\ x=2+\sqrt{0.6}$

Answer: (2 - √0.6, 0) and (2 + √0.6)

Answer 2

the x intercepts are (2+√15/5,0), (2-√15/5,0)