Quadratic Equation

An equation of the form ax²+bx+c = 0 where a, b, c are real numbers and where “a” does not equal to zero (0).
The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term divided by the leading coefficient.
The product of the roots of a quadratic equation is equal to the constant term divided by the leading coefficient.

Example of a Quadratic Equation:

Factor the equation x2 – 5x -36 = 0 using quadratic equation solver.

Solution:

We can split as add of the roots and the multiply for the roots.

Product of the roots – 36 = -9*4

Sum of the roots -5 = -9 +4

X2 +(-9x+4x) -36 = 0

(x2-9x) + (4x -36) = 0

X(x-9) + 4(x-9) = 0 now take the common term

(x-9)(x+4) = 0

x-9 = 0 and x+4 = 0

x= 9 and x= -4

The factors of the given quadratic equation are 9, -4.

For word problems on Quadratic Equations click here