sombereki51

sombereki51

Answered

2022-09-23

How do you find the x intercept of f ( x ) = x 2 + 9 x x 2 + 3 x - 4 ?

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Answer & Explanation

Miguel Shah

Miguel Shah

Expert

2022-09-24Added 8 answers

The x-intercept is when y=0

So at first, you only have to look at the top half of the equation -- when this is 0 the whole thing is 0

Leaves us with x 2 + 9 x = 0

This can be re-written: x 2 + 9 x = x ( x + 9 ) = 0

So we have two answers:
x = 0 or ( x + 9 ) = 0 x = - 9

Check the answers against the numerator (it may not be 0!)
x = 0 x 2 + 3 x - 4 = - 4 which is OK
x = - 9 x 2 + 3 x - 4 = 50 which is also 0

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