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Maths
GCSE

Prove that 0.565656.... can be expressed as 56/99.

1) Let x=0.565656...

2) Thus 100x=56.565656...

3) Subtracting equation 1) from 2) gives:

99x=56

4) Rearrange for x:

x=56/99, Also x...

DC
Answered by Daanyaal C. • Maths tutor
4136 Views

Solve the equation ((2x+3)/(x-4))-((2x-8)/(2x+1))=1

Step 1: Multiply everything by x-4 to give 

(2x+3) - ((2x-8)(x-4)/2x+1)=(x-4)

Step2: Multiply everything by 2x+1 to give

(2x+3)(2x+1)-(2x-8)(x-4)=(x-4)(2x+1)

MT
Answered by Matthew T. • Maths tutor
8527 Views

How do you factorise a quadratic equation?

A quadratic expression is of the form ax​2+bx+c. It is often useful to know what values of x will make the expression equal to 0; these are known as the roots of the equation. An easy way of...

TW
Answered by Tim W. • Maths tutor
4650 Views

How is trigonometry used on non-right angled triangles?

To do this, there are two rules, the Sine Rule and The Cosine Rule. 

The sine rule is a/Sin A   = b/Sin B = c/Sin C.  (the lower and uppercase are very important. The rule also stands if ...

BC
Answered by Bobbie C. • Maths tutor
114336 Views

Factorise and solve x^2 - 8x + 15 = 0.

The easiest way to solve this problems it via trial and error. For any quatdratic (ax2 + bx  + C = 0), the coeficcent of x, (i...

DM
Answered by Dominic M. • Maths tutor
4965 Views

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