RaynavF15276 RaynavF15276
  • 03-11-2022
  • Mathematics
contestada

What are all the zeros of the function f(x)= x^2 −x−56=0

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AzlynnF524039 AzlynnF524039
  • 03-11-2022

The Solution.

The given function is

[tex]f(x)=x^2-x-56=0[/tex]

Solving quadratically using the factorization method, we get

[tex]f(x)=x^2-8x+7x-56=0[/tex][tex]f(x)=x(x-8)+7(x-8)=0[/tex][tex](x+7)(x-8)=0[/tex][tex]\begin{gathered} x+7=0,\text{ or x -8 =0} \\ x=-7,\text{ or x = 8} \end{gathered}[/tex]

Hence, the zeros of the function are -7 or 8

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