Solving Quadratics

Solving Graphically

Quadratics: Solving Graphically Video;

Textbook Exercise.

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Solving by inpsection - Factorisation

Quadratics: solving (factorising)

Practice Questions

Textbook 1

Textbook 2

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Solving by Completing the Square

Quadratics: solving (completing the square) Video;

Practice Questions;

Textbook Exercise.

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Solving Quadratic Equations using the Formula

$$a{x}^2+bx+c=0$$

where $a\ne 0$. Has roots

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

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Videos and Questions

Quadratics: formula

Practice Questions

Textbook Exercise

Quadratic formula proof:

Practice Questions

Textbook Exercise

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Discriminant

The discriminant formula for a quadratic equation, $a{x}^2+bx+c=0$ is given by $\Delta =b^2-4ac$. The value of $\Delta$ helps determine the nature of the roots:

If $\Delta >0$,

there are two distinct real roots;

if $\Delta =0$,

there is one repeated root;

if $\Delta <0$,

there are no real roots. The roots will be complex.

Questions:

AS Pure Questions
(Care of www.mathsgenie.co.uk)

AS Pure
(Care of alevelmathsrevision.com)

Exam Questions - Roots and Discriminant
(Care of www.examsolutions.net)

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