The Quadratic Equation Formula is:
- b ± √(b2 - 4ac)
X = —––––––––––––
A quadratic can be solved for x when the values for a, b and c of the Standard Equation, ax2 + bx + c, are known. The Quadratic Formula is factored from the Standard Equation by Completing the Square.
ax2 + bx = - c
Place constant of Standard Equation to the right side of equals sign.
x2 + — x = —
Divide both sides of equation by ”a”.
x2 + — x
Complete the trinomial square.
Simplify equation terms step 1.
x + —–
4a — 4a
b2 —– 4a2
Simplify equation terms step 2.
b2 - 4ac
Square root both sides of equation.
Simplify equation terms.
√(b2 - 4ac )
Solve for “x”.
- b ± √(b2 - 4ac )
The Quadratic Equation Formula.
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