Quadratic Equations
- Details
- Category: Algebra
A Quadratic equation is an equation in which the highest degree of the variable is two. The general form of a quadratic equation is
AX2 + Bx + C = 0
A, B and C can each be any real number, however A cannot be zero. Hence we cannot have the X2 term missing from a quadratic equation
3x2 - 6x - 9 = 0
x2 = 45
9x2 + 17x = 0
are all valid quadratic equations since they can all be made to look like the general or standard form of the quadratic equation.
For example X2 = 45 can be written as X2 - 45 = 0 which looks lke the standard quadratic equation with A =1, B=0 and C = -45
7x - 18 = 0 (Highest degree of variable is 1)
45 (Not an equation)
3x4 - 14x = 32x2 (highest power of variable is 4)
are all non quadratic equations since they are not all equations where the highest power of the variable is two