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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?-example-1

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Answer:

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


x^2-11x=-30

Explanatio

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

To derive the equation, we have;


(x-5)(x-6)=0

Expanding;


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

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


x^2-11x=-30

User Maarten Bicknese
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