Quadratic Equation

Fast trick to solve Quadratic Equation

Factorize the equation : x2 + 19x + 90

STEP-1

First of all multiply constant term and coefficient of x2 that is 1 so 90 * 1 = 90
19
90
(90 * 1)

STEP-2

Now split the coefficient of x that is 19 in two part so that their multiplication equals to 90 and their addition equals to 19 so
10 * 9 = 90 ( Constant Term )
10 + 9 = 19 ( Coefficient of middile term )

so the factor of the equation is-
(x + 10) (x + 9)

If we have to calulate zeros then-
x + 10 = 0 or x + 9 = 0
x = - 10 or x = - 9