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Maths
GCSE

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...

LH
Answered by Lucy H. Maths tutor
9228 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...

ED
Answered by Elliot D. Maths tutor
10957 Views

Solve 13-x > 3+4x

13-x-3>4x
10>4x+x
10>5x
2>x
x<2

NE
Answered by Nathan E. Maths tutor
4926 Views

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

  1. Label your equations 1 and 2.
  2. Look to eliminate one of your variables to create a third equation with only one variable.
  3. To do this multiply the first equation by 2 to obtain: 6x +...
CA
Answered by Chris A. Maths tutor
6072 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.

TE
Answered by Tess E. Maths tutor
3107 Views

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