Solving Simple Quadratic Equations: For $x^2 = k$, there are two solutions: $x = \pm \sqrt{k}$. Note that $k$ must be non-negative, as $x^2$ cannot be negative.

No Real Solutions for Negative Numbers: If $k$ is negative, such as in $x^2 = -25$, there are no real solutions.

Solving $x^2 – d x = 0$ 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 $x = 0$.

Membership Required

You must be a member of Math Angel Plus or Math Angel Unlimited to watch this video.