Find the possible value or values of r in the quadratic equation r² - 7r - 8 = 0.

Solution:

Given:

Quadratic equation is r² - 7r - 8 = 0

Splitting up the middle term

r² - 8r + r - 8 = 0

Taking out the common terms

r(r - 8) + 1(r - 8) = 0

So we get,

(r - 8) (r + 1) = 0

Here

r - 8 = 0 or r + 1 = 0

r = 8 or r = -1

Therefore, the values of r are 8 and -1.

Find the possible value or values of r in the quadratic equation r² - 7r - 8 = 0.

Summary:

The possible value or values of r in the quadratic equation r² - 7r - 8 = 0 are 8 and -1.