Quadratic Formula

There are several ways to solve quadratic equations (including factoring and completing the square), but the most straightforward is the quadratic formula. Given a quadratic in the form \( ax^2 + bx + c = 0 \), we have:

\[ x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}. \]

Thus for the quadratic \( 2x^2 - 22x + 20 = 0 \), we have

\[ x = \frac{22 \pm \sqrt{22^2 - 4(2)(20)}}{2(2)} = \frac{22 \pm \sqrt{324}}{2(2)} = \frac{11 \pm 9}{2}\]

Note by Arron Kau
3 years, 10 months ago

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