Quadratic Equation

Fast trick to solve Quadratic Equation

Factorize the equation : x2 + -5x -50

STEP-1

First of all multiply constant term and coefficient of x2 that is 1 so -50 * 1 = -50
-5
-50
(-50 * 1)

STEP-2

Now split the coefficient of x that is -5 in two part so that their multiplication equals to -50 and their addition equals to -5 so
5 * (-10) = -50 ( Constant Term )
5 + (-10) = -5 ( Coefficient of middile term )

so the factor of the equation is-
(x + 5) (x -10)

If we have to calulate zeros then-
x + 5 = 0 or x -10 = 0
x = - 5 or x = 10