Question

find the root of the quadratic equation x square +7x+10=0​

Answer 1

Let G(x) = x^2 + 7x + 10

For roots of the given polynomial, G(x) = 0

x^2 + 7x + 10 = 0

write 7x as (5x + 2x),

x^2 + 5x + 2x + 10 = 0

x(x + 5) + 2(x + 5) = 0

(x + 5)(x + 2) = 0

x = -5 or -2

Hence, the root of the given quadratic equation are -5 and -2.