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  • 11-01-2021
  • Mathematics
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Use the Zero Product Property to find the x-intercepts for x^2+6x=y

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MrRoyal
MrRoyal MrRoyal
  • 16-01-2021

Answer:

[tex]x=0\ or\ x =-6[/tex]

Step-by-step explanation:

Given

[tex]x^2+6x=y[/tex]

Required

Determine the x intercepts

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

Substitute 0 for y;

[tex]x^2+6x=0[/tex]

Factorize:

[tex]x(x +6) = 0[/tex]

Apply zero product property

[tex]x=0\ or\ x + 6 =0[/tex]

[tex]x=0\ or\ x =-6[/tex]

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