Solving 4x² + 16x + 15 = 0 Using the Quadratic Formula

Powered By Using The Quadratic Formula Solve 4x 2 16x 15

The quadratic formula is a powerful tool for solving quadratic equations of the form ax² + bx + c = 0. In this case, we have 4x² + 16x + 15 = 0, where a = 4, b = 16, and c = 15. Plugging these values into the quadratic formula, x = (-b ± √(b² - 4ac)) / 2a, we get x = (-16 ± √(16² - 4 * 4 * 15)) / (2 * 4). Simplifying further, x = (-16 ± √(256 - 240)) / 8 = (-16 ± √16) / 8 = (-16 ± 4) / 8. This gives us two solutions: x = (-16 + 4) / 8 = -12 / 8 = -3/2 and x = (-16 - 4) / 8 = -20 / 8 = -5/2. Therefore, the solutions to the equation 4x² + 16x + 15 = 0 are x = -3/2 and x = -5/2.

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