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Solve x² - 3x - 2 = 0

To complete the square for the equation ax² + bx + c = 0 there are three steps.. 1. In order to complete the square, we need to take the first two parts of the quadtratic equation, and put them in the for...

Answered by Natalia M. • Maths tutor

8989 Views

Use the equation 2(x+4) + 6(x-1) = 14, to find x.

Firstly, you need to get rid of any brackets. You do this by expanding them. This becomes 2x + 8 + 6x - 6 = 14.

The next step is to get all the x's on one side, and all the numbers on the other. Yo...

Answered by Ursula R. • Maths tutor

2949 Views

Solve the simultaneous equations (1) x + 3y = 7 and (2) 2x + y = 4

It's impossible to solve an equation with two unknowns (x and y) so we must find a way to get rid of either x or y before solving an equation. Using substitution rearrange the equation 1 so x is the only ...

Answered by Simon S. • Maths tutor

3813 Views

64% of an audience are female. Work out the ratio females : males Give your answer in its simplest form.

64% are female. This 64% out of 100%.

36% are male

So the ratio is 64 : 36 or 32 : 18

Can then be simplified to 16 : 9

Answered by Jordan Q. • Maths tutor

2964 Views

A cuboid of height 5 cm has a base of side 'a' cm. The longest diagonal of the cuboid is 'L' cm. Show that 'a' = SQRT[ (L^2 - 25)/2]

A cuboid is made of squares and rectangles, with the diagonal 'L' connecting opposite corners of the 2 square faces. As the cuboids corners are all right angles, all the diagonals form right angled triang...

Answered by Joshua P. • Maths tutor

4140 Views