find all x-intercepts of the given function f. f(x)=3x+10�ã(x) -8
I have a feeling you meant to type
f(x) = 3x + 10√x - 8 , where clearly x ≥ 0
so 3x + 10√x - 8 = 0
10√x = 8 - 3x
square both sides
100x = 64 -48x + 9x^2
9x^2 - 148x + 64 = 0
(x-16)(9x - 4)
x = 16 or x = 4/9
but, since we squared , we have to verify each answer.
If x = 16
RS = 48 + 10√16 - 8 ≠ 0
if x = 4/9
RS = 3(4/9) + 10√(4/9) - 8
= 4/3 + 20/3 - 24/3 = 0 = LS
the x intercept is (4/9, 0)