Question

Find the sum and product of the roots for the following quadratic equation x² + 8x - 65 = 0

Answer 1

Answer:

sum=-8/1,product=-65/1

Step-by-step explanation:

sum of the roots = -b/a

product of the roots=c/a

Answer 2

Given,

The quadratic equation = $x^{2}$ + 8x - 65 =0.

To Find,

The product and sum of the roots.

Solution,

Given that,

$x^{2}$ + 8x -65 = 0

Sum and product of the roots need to find out.

A quadratic equation is, which contains a square term, the sum of the roots term, and the product of the roots term.

The given equation,

$x^{2}$ + 8x - 65 = 0

can be written as

$x^{2}$ - (sum of the roots ) * x + ( products of roots) * x = 0

In the equation,

sum of roots = -8

Product of the roots = -65

Therefore,

-8 is the sum of the roots and -65 is the product of the roots.