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Solve the quadratic equation 3x^2 + x – 5 = 0 give answers to 3 decimal places

To solve this quadratic equation we should first see if it is possible to factorise it into two seperate brakets. In this case there are no numbers which multiply to give -5 and add to give 3. Thus we should...
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Answered by David R. • Maths tutor
46910 Views

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+√2)T...
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Answered by William A. • Maths tutor
25155 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: 2xy +3y = 5x-4 now gather all the x c...
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Answered by Xuanyi A. • Maths tutor
6382 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 expres...
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Answered by Rudolfs T. • Maths tutor
4388 Views

Write 120 as a product of its prime factors.

120 2 x 60 2 x 30 2 x 15 3 x 5 Ans= 2 3 x 3 x 5
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Answered by Edward L. • Maths tutor
52770 Views