# 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:

6 x

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

(x -

1

1

) (x -

-1

3

)

Ex. 1:

-5 x

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

(x -

-7 + √69

-10

) (x -

-7 - √69

-10

)

Ex. 2:

-5 x

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

(x -

-2 + √124

-10

) (x -

-2 - √124

-10

)

Ex. 3:

9 x

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

(x -

1 + √37

18

) (x -

1 - √37

18

)

Ex. 4:

-7 x

^{2}+ -9 x + 8 = 0=>

(x -

9 + √305

-14

) (x -

9 - √305

-14

)

Ex. 5:

5 x

^{2}+ -1 x + 5 = 0=>

No real roots

(x -

1 + i √99

10

) (x -

1 - i √99

10

)

Ex. 6:

3 x

^{2}+ -1 x + -3 = 0=>

(x -

1 + √37

6

) (x -

1 - √37

6

)

Ex. 7:

9 x

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

(x -

0

18

) (x -

-1

3

)

Ex. 8:

-5 x

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

(x -

-9 + √41

-10

) (x -

-9 - √41

-10

)

Ex. 9:

9 x

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

(x -

2 + √184

18

) (x -

2 - √184

18

)

### 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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