SOLUTION: Can someone please help, I am totally lost Find all x-intercepts of the given function f(x). F(x)=x-17√(x+72) Thank you.

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Question 457775: Can someone please help, I am totally lost
Find all x-intercepts of the given function f(x).
F(x)=x-17√(x+72)
Thank you.

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
F(x) = x - 17√(x+72)
See if we can put it into ax^2 + bx + c form
x =
Square both sides
x^2 = 289*(x+72)
x^2 = 289x + 20808
x^2 - 289x - 20808 = 0
Solve for x using the quadratic formula

a=1; b=-289, c=-20808

:

:

Two solutions

x =
x = 348.677
and

x =
x = -59.677
:
Check both these solutions in the original equation, only x=348.677 is an intercept

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