Solve any quadratic equation ax² + bx + c = 0. Get both roots with step-by-step solution.
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For any equation ax² + bx + c = 0, the solutions are x = (-b ± √(b²-4ac)) / 2a. This formula works for all quadratic equations, whether they have real or complex roots.
The discriminant (b²-4ac) determines the nature of roots: positive means two distinct real roots, zero means one repeated root, negative means two complex conjugate roots.
1) Identify a, b, c coefficients. 2) Compute the discriminant. 3) Take the square root. 4) Apply the formula for both + and - cases. 5) Simplify.
Use the quadratic formula when factoring is hard or impossible. It always works, unlike factoring which only works for "nice" numbers. It's essential for algebra, physics, and engineering.
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