Question

If the sum of two roots is 12 and one root is 5 find the other root and the pertinent quadratic equation.

Answer 1

Given:

The sum of the two roots is 12.

One root is 5.

To find the other root and the quadratic equation:

Since the sum of the two roots is 12 and one root is 5.

So, the other root is 7.

Next, the quadratic equation becomes,

$\begin{gathered} (x-5)(x-7)=x^2-5x-7x+35 \\ =x^2-12x+35 \end{gathered}$

Hence, the quadratic equation is,

$x^2-12x+35$