Quadratic Equations

Quadratic operations

Incomplete pure

Incomplete mixed

Complete

Formula:

ax^2 + c = 0

Formula:

ax^2 + bx + c = 0

Formula:

ax^2 + bx = 0

Can be solved by the following methods

Direct factorizations

General formula

X is factored out of the expression, equals 0. The variable in each of the factors is cleared.

Solutions:

x1 = 0

x2 = -b/a

Subtract c from both sides of the operation. Both members are divided by a. The square root is calculated.

Solutions:

x1 = + √ -c / a

x2 = - √ -c / a

x = -b ± √ b^2 - 4ac 2a

It is the same as the one used to solve mixed incomplete equations

But here it is not by common factor, but as the product of two binomials