# Unsure about Quadratic Formula?

Let the Study Guides explain when, and how, to use the Quadratic Formula. See below ...

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Covers the whole of the National 5 Maths course

Created by an experienced maths teacher

Resources used with students studying Maths in Scottish Secondary Schools

## Quadratic Formula

Understanding  how to use the Quadratic Formula is important to ensure your success in tests, assessments and exams.

### All Resources By Course

 National 5 Maths - Whole Course Page HERE National 5 Maths - Home Page HERE National 5 Applications HERE Primary Teacher Maths HERE S1 & S2 Maths HERE National 3 Maths HERE National 4 Maths HERE GCSE Maths HERE Higher Maths - Website & Study Pack HERE AH Maths - Website & Study Pack HERE AH Maths of Mechanics HERE AH Statistics HERE

### Quadratic Formula Resources

 Exam Ques 1 (GCSE) Quadratic Formula Exam Ques 2 (GCSE) Solving Quadratics Exam Ques (N5) Quadratic Equations & Graphs Worksheet Quadratics Mind Map 1 Quadratic Functions Mind Map 2 Quad Functions (PowerPoint) Mind Map 3 Quadratics

### About the Quadratic Formula

The formula is used to solve quadratic equations which do not factorise. For example, try to factorise:

x² + 5x + 7

It won’t factorise!! There are no combinations of numbers which multiply to give 7 and add to give 5.

The reason that the trinomial does not factorise is because the solution to the equation (the roots) have a decimal value.

To find the roots, the quadratic equation is compared with ax² + bx + c to find the values of a, b & c.

ax² + bx + c = 0

x² + 5x + 7 = 0

Comparing the above equations: a = 1, b = 5, c = 7

These values are substituted into the quadratic formula to give two solutions:

.

In exams, when asked to solve a quadratic correct to a number of decimal places, or significant figures, then the quadratic formula must be used.

## Study Guides

We cover everything you need to know about the Quadratic Formula in the Study Guides.

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### N5 Maths - Whole Course Page

Past/Practice Exam Papers, Theory Guides, Worksheets, Starter Questions, Mind Maps, PowerPoints, Videos, Exam Focused Study Pack ...

### Higher Maths Website

Past/Practice Exam Papers, Theory Guides, Text Book Solutions, Starter Questions, Mind Maps, Videos, Exam Focused Study Pack ...

### Advanced Higher Website

Past/Practice Exam Papers, Theory Guides, Text Book Solutions, Starter Questions, Mind Maps, Videos, Exam Focused Study Pack ...

### N5 Applications

Past/Practice Exam Papers, Theory Guides, Mind Maps, PowerPoints, Videos ...

### GCSE Maths

Past/Practice Exam Papers, Mind Maps, PowerPoints, Videos, Exam Focused Study Pack ...

### All Courses

Primary, S1-S2, N3, N4, N5, GCSE, Higher, AH Maths, AH Statistics & AH Maths of Mechanics ...

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