quadratic equations
quadratic equations articles on the Math Mental blog, with worked examples solved step by step.
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How to solve quadratic equations: the quadratic formula and sum and product
An equation ax² + bx + c = 0 with a ≠ 0 has roots x = (−b ± √Δ)/(2a), where Δ = b² − 4ac. If Δ > 0 there are two real roots, if Δ = 0 one double root, and if Δ < 0 no real roots. The roots add up to −b/a and multiply to c/a, which lets you find integer roots mentally.
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