Question

What are the x-intercepts of the function y = x2 - X - 6?

Answer 1

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`f(x) = {x}^(2) - x - 6`

`f(x) = (x - 3)(x + 2)`

`0 = (x - 3)(x + 2)`

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Hint :

`a * b = 0`

`a = 0 \: \: \: or \: \: \: b = 0`

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Thus ;

`x - 3 = 0`

Add sides 3

`x - 3 + 3 = 0 + 3`

`x = 3`

Or

`x + 2 = 0`

Subtract sides 2

`x + 2 - 2 = 0 - 2`

`x = - 2`

Thus the x-intercepts are (( - 2 )) and (( 3 )) .

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Answer 2

Answer:(3,0) , (-2,0)

Step-by-step explanation:To find the x-intercept, substitute in 0 for y and solve for x