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Express 4/(2-√2) in the form a+b√2 and write down the values of a and b.

This is a typical exam question which some students may find confusing.The trick to this question is realising that you have to rationalise the denominator. (Topic: Surds)4/(2-√2) = 4/(2-√2) x (2+√2)/(2+√...

WA
Answered by William A. Maths tutor
24688 Views

Find the inverse of y = (5x-4) / (2x+3)

the aim of finsing the inverse is making x the subject. To start we need to multiply both sides by: (2x+3), giving us:

y(2x+3) = 5x-4

now we need to expand the brackets:

...
XA
Answered by Xuanyi A. Maths tutor
6027 Views

Why is (-1)*(-1)=1?

Even though this question seems trivial to most people with some mathematical expertise, it actually cuts quite deep into an intuitive understanding of what multiplication truly is. When one writes an exp...

RT
Answered by Rudolfs T. Maths tutor
4128 Views

Write 120 as a product of its prime factors.

120

2 x 60

       2 x 30

              2 x 15

                   

EL
Answered by Edward L. Maths tutor
52156 Views

Work out the points of intersection of the graphs of y= (x+2)(x-4) and y=3x+6.

3x+6=(x+2)(x-4)

3x+6 = x2-2x-8

x2-5x-14=0

(x-7)(x+2)=0

x=7 so y=27

and x=-2 so y=0

EL
Answered by Edward L. Maths tutor
4987 Views

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