Quadratic Equations:
Chapter Quadratic equation covers solving for unknowns using quadratic equations.
APPLY the quadratic formula to solve for an unknown.
Types of Quadratic Equations
The quadratic equation is an equation holding the second power of an unknown but no higher power. The equation x2 - 5x + 6 = 0 is a quadratic equation. A quadratic equation has two roots, both of that satisfy the equation. There are two roots of the quadratic equation x2 - 5x + 6 = 0 are x = 2 and x = 3. The equation substituting either of these values for x within the equation makes it true.
The common form of a quadratic equation is the subsequent: (1)
The a represents the numerical coefficient of x2 and b represents the numerical coefficient of x, and c represents the constant numerical word. One or both of the last two numerical coefficients might be zero. The numerical coefficient a cannot be zero. If b=0, then the quadratic equation is termed a "pure" quadratic equation. If the equation holds both an x and x2 term, then it is a "complete" quadratic equation. The numerical coefficient c might or might not be zero in a complete quadratic equation. Therefore, x2 + 5x + 6 = 0 and 2x2 - 5x = 0 are complete quadratic equations.