# Welcome to Physics and Maths.co.uk

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## Physics and Maths Tuition and coaching for all - from GCSE through A-Level to Degree

## Now also coaching in GCSE/A-level Computer Science

### Proper, Improper and Mixed Fractions

### Fractional Arithmetic

### Changing the Subject of an Expression

### Multiplying Expressions

### Factorising Quadratic Expressions

Ex. 0:

8 x

^{2}+ 7 x + -6 = 0=>

(x -

-7 + √241

16

) (x -

-7 - √241

16

)

Ex. 1:

5 x

^{2}+ 0 x + 9 = 0=>

No real roots

(x -

0 + i √180

10

) (x -

0 - i √180

10

)

Ex. 2:

3 x

^{2}+ -6 x + -4 = 0=>

(x -

6 + √84

6

) (x -

6 - √84

6

)

Ex. 3:

8 x

^{2}+ -1 x + -7 = 0=>

(x -

1

1

) (x -

-7

8

)

Ex. 4:

-6 x

^{2}+ -5 x + 8 = 0=>

(x -

5 + √217

-12

) (x -

5 - √217

-12

)

Ex. 5:

4 x

^{2}+ 2 x + -8 = 0=>

(x -

-2 + √132

8

) (x -

-2 - √132

8

)

Ex. 6:

-7 x

^{2}+ 2 x + 1 = 0=>

(x -

-2 + √32

-14

) (x -

-2 - √32

-14

)

Ex. 7:

9 x

^{2}+ -3 x + -6 = 0=>

(x -

1

1

) (x -

-2

3

)

Ex. 8:

6 x

^{2}+ -2 x + -8 = 0=>

(x -

4

3

) (x -

-1

1

)

Ex. 9:

1 x

^{2}+ 7 x + -5 = 0=>

(x -

-7 + √69

2

) (x -

-7 - √69

2

)

### Solving Linear Equations

### Rationalising the Denominator

### Solving Simultaneous (Linear) Equations

### Solving Simultaneous Quadratic Equations

### 2 and 3 Part Ratios

### Completing the Square

### Sequences and Series

### Polynomial Long Division

### Factor and Remainder Theorem

### Roots of a cubic

### Differentials

### Finding Turning Points

### Pythagorus

### Sine and Cosine Rules

### Vectors

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