Question

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

Answer 1

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;

$x^2-11x=-30$