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Learn Secondary SSS1 Mathematics The Quadratic Formula

The Quadratic Formula

Master the quadratic formula for solving any quadratic equation.

~25 min Mathematics Aligned with NERDC
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The Quadratic Formula

For ANY quadratic equation $ax^2 + bx + c = 0$, the solutions are:

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

Example

Solve $2x^2 + 3x - 1 = 0$

Here $a = 2, b = 3, c = -1$

$x = \frac{-3 \pm \sqrt{9 + 8}}{4} = \frac{-3 \pm \sqrt{17}}{4}$

💡 Memory Trick

"x equals minus b, plus or minus the square root, of b squared minus four a c, all over two a."

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Contents

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Quadratic Equations

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