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Show that (4+√12)(5-√3)= 14+6√3

First, expand out the brackets. Initially, this will give you 20 - 4√3 + 5√12 - √36. √36 is the equivalent of 6, now giving up 20 - 4√3 + 5√12 - 6. We can combine the 20 and the 6 to give us 14 - 4√3 + 5√12....
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Answered by Lucy H. Maths tutor
10134 Views

Factorise x²+5x+6.

You need to find two numbers that multiply to make 6 and add to make 5. Usually it's easier to find a correct multiplication and check that it satisfies the addition. Here the options are 6&1 or 2&3,...
ED
Answered by Elliot D. Maths tutor
13126 Views

Solve 13-x > 3+4x

13-x-3>4x 10>4x+x 10>5x 2>x x<2
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Answered by Nathan E. Maths tutor
5635 Views

Solve the following set of simultaneous equations: 3x + 2y = 15 & 9x + 4y = 1

Label your equations 1 and 2. Look to eliminate one of your variables to create a third equation with only one variable. To do this multiply the first equation by 2 to obtain: 6x + 4y =30 *Label as equation ...
CA
Answered by Chris A. Maths tutor
6985 Views

Solve these simultaneous equations: 3y + x = 18 and x - 4y = -10.

Write x in terms of y using one of the equations. Then substitute it in the second equation, which is then only in terms of y. Find y. Then you can easily find x. Answer: x = 6 and y = 4.
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Answered by Tess E. Maths tutor
3824 Views