Completing the Square Calculator
Complete the Square
Convert ax² + bx + c to a(x - h)² + k
Solve by Completing the Square
Solve ax² + bx + c = 0 step by step
Formula
a(x - h)² + k where h = -b/(2a), k = c - b²/(4a)
Frequently Asked Questions
What is completing the square?
Completing the square converts a quadratic expression ax² + bx + c into vertex form a(x - h)² + k. The vertex (h, k) is found by h = -b/(2a) and k = c - b²/(4a). This reveals the parabola's vertex directly.
Why is completing the square useful?
It's useful for finding the vertex of a parabola, solving quadratic equations, deriving the quadratic formula, converting to vertex form for graphing, and integrating certain expressions in calculus.
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