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Find the sum and product of the roots of the equation 2x^2-6x+10=0

User Ababo
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Sum and Product of the Roots of a Quadratic Equation

Given a quadratic equation of the form:


x^2+mx+p=0

It can be proven that (-m) coincides with the sum of the roots of the polynomial and p corresponds with the product of the roots.

For example, a polynomial with roots 3 and 4 has the equation:


x^2-7x+12=0

We are given the equation:


2x^2-6x+10=0

Notice the coefficient of the x squared is not 1 as required. But we can do the trick of dividing by 2:


x^2-3x+5=0

Now we can say:

The sum of the roots is 3

The product of the roots is 5

User Maddogandnoriko
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