AbubakerE685130 AbubakerE685130
  • 03-11-2022
  • Mathematics
contestada

Which of the following is a quadratic equation that has the roots x = 5 and x = 6?

Which of the following is a quadratic equation that has the roots x 5 and x 6 class=

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ZayleahK553255 ZayleahK553255
  • 03-11-2022

Answer:

the quadratic equation that has the roots x=5 and x=6 is;

[tex]x^2-11x=-30[/tex]

Explanatio

We want to derive the quadratic equation that has the roots x=5 and x=6;

To derive the equation, we have;

[tex](x-5)(x-6)=0[/tex]

Expanding;

[tex]\begin{gathered} x^2-5x-6x+30=0 \\ x^2-11x+30=0 \\ x^2-11x=-30 \end{gathered}[/tex]

Therefore, the quadratic equation that has the roots x=5 and x=6 is;

[tex]x^2-11x=-30[/tex]

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