Use the Zero Product Property to find the x-intercepts for x^2+6x=y

Question

asked Nov 7, 2022 169k views

1 Answer

Esteban Aliverti · Answer 1 · 2022-11-13T02:08:46+0000

Answer:

$x=0\ or\ x =-6$

Explanation:

Given

x^2+6x=y

Required

Determine the x intercepts

To get the x intercepts, we simply set y to 0

Substitute 0 for y;

x^2+6x=0

Factorize:

x(x +6) = 0

Apply zero product property

$x=0\ or\ x + 6 =0$

$x=0\ or\ x =-6$