n = \frac{-5 \pm \sqrt{5^2 - 4(2)(-150)}}{2(2)} = \frac{-5 \pm \sqrt{25 + 1200}}{4} = \frac{-5 \pm \sqrt{1225}}{4} = \frac{-5 \pm 35}{4}

Sun, 03 May 2026 06:40:57 +0000

Solving Quadratic Equations: A Step-by-Step Guide Using the Quadratic Formula Mastering quadratic equations is essential in algebra, and one of the most powerful tools for solving them is the quadratic formula: \\[
n = \frac{-b \\pm \\sqrt{b^2 - 4ac}}{2a}
\\] In this article, we walk through a practical example using the equation: