Solve the quadratic equation by completing the square:
x² + 4x  1 = 0
To get started, add 1 to each side.
x²  4x  1 = 0 {original equation} x²  4x = 1 {added 1 to each side} Then, take half of the coefficient of x, square it, and add it to both sides. x²  4x + 2² = 1 + 2² {took half of the coefficient of x, squared it, and added to both sides} x²  4x + 4 = 1 + 4 {evaluated exponents} x²  4x + 4 = 5 {combined like terms on the right side} (x  2)² = 5 {factored the left side} x  2 = ±√5 {took the square root of each side} x = 2 ± √5 {subtracted 2 from each side} Ask Algebra House
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