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]
