Question

Factors of the given equation are
x2 + 11 x + 30​

Answer 1

Answer:

-6 and -5

Step-by-step explanation:

x^2 + 11x + 30

here, 30 is the multiple of 5×6 and 11 = 5+6

therefore the equation can be written as,

x^2 + 6x + 5x + 30

(x^2 + 6x) + (5x + 30)

x(x+6) + 5(x+6)

(x+6) (x+5)

x = -6 or -5

or by using quadratic equation

$x = \frac{ - b + \sqrt{(b {}^{2} - 4ac)} }{2a}$

or

$x = \frac{ - b \: - \sqrt{(b {}^{2} - 4ac)} }{2a}$

here a = 1, b = 11, c = 30 ( from the question)