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

User Jettro Coenradie
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1 Answer

26 votes
26 votes

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

User KingAndrew
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