Solving quadratic equations (OCR GCSE Maths): Flashcards

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Solving Quadratic Equations
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Highest power in a quadratic equation

Power of 2 (e.g., x2x^2)

No. of methods to solve quadratic equations

Three

3 methods for solving quadratic equations

Factorising, quadratic formula, completing the square

Golden rule for quadratic solutions

Always get two answers

Why do quadratics give two solutions?

Positive & negative numbers squared give same value

The quadratic formula

x=b±b24ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Standard form for quadratic formula

ax2+bx+c=0ax^2+bx+c=0

Negative discriminant indicates

No real solutions

First step when solving by factorising

Rearrange equation to equal zero

Meaning of ±\pm in quadratic solutions

Both positive and negative values

Completing square: if coeff. of x21x^2 \neq 1

Factor it out first

After square root in quadratic solving

Consider both +ve and -ve roots

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