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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=0.565656... from 1) Therefore 0.565656...=56/99
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Answered by Daanyaal C. • Maths tutor
4688 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) Step 3: Multiply out the brackets to give (4x 2 +8...
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Answered by Matthew T. • Maths tutor
9118 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 seeing what th...
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Answered by Tim W. • Maths tutor
5155 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 you write the entire thi...
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Answered by Bobbie C. • Maths tutor
119294 Views

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

The easiest way to solve this problems it via trial and error. For any quatdratic (a x 2 + bx + C = 0) , the coeficcent of x, (in this case b = 8) is the sum(+) of the two solutions and c is the product( ). ...
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Answered by Dominic M. • Maths tutor
5784 Views