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Solving Simple Quadratic Equations

Algebra and Graphs Solving Simple Quadratic Equations

🎬 Video Tutorial

Solving x² = k: there are two solutions: x = ±√k. Note that k must be non-negative, as x² cannot be negative.
No Real Solutions for Negative k: If k is negative, such as in x² = -25, there are no real solutions.
Solving x² – d x = 0 by Factorisation: Factor out x to get x(x – d) = 0, giving solutions x = 0 and x = d.
A Common Pitfall: Avoid dividing both sides by x, as it can lead to missing solutions, especially x = 0.

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📂 Revision Cards

Solving the quadratic equation x² = k, showing the general solution x = ±?k, and a specific example where x² = 9 with solutions x = 3 and x = -3.

Solving quadratic equations with the steps to isolate x² and find solutions x? and x? using the formula x = ±?k, resulting in x? = 2 and x? = -2.

Solving quadratic equations, demonstrating x² = k and x² + 50 = 0 leading to no real solution since x² = -25.

Solving quadratic equations by factorisation, showing x² - dx = 0 with solutions x? = 0, x? = d, and x² + 2x = 0 with solutions x? = 0, x? = -2.

Solving quadratic equation x² - dx = 0 with steps to simplify and factorise, showing solutions x? = 0 and x? = 5.

Solving simple quadratic equations with examples: x² = k leading to x = ±?k, and x² - dx = 0 leading to x = 0 or x = d.

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