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(2x+3)/(x-4) - (2x-8)/(2x+1) =1

(2x+3) (2x+1) = 4x^2 + 8x + 3 (2x-8) (x-4) = 2x^2 - 16x - 32 (4x^2+8x+3) - (2x^2-16x-32) = 1 2x^2 - 8x - 29 = 1 2x^2 - 8x - 30 = 0 x^2 - 4x - 15 = 0 Using the quadratic formula; x = 6.36 or x= -2.36 to 2dp
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Answered by Masie A. • Maths tutor
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A school has a number of students. One is chosen at random; the probability that the student is female is 2/5. Knowing that there are 174 male students, work out the total number of students in the school.

This is a simple yet standard GCSE question, especially in non-calculator papers. The solution is simple: if the student is picked at random, then the probability 2/5 must represent a ratio where the other s...
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Answered by Adam M. • Maths tutor
4998 Views

Shampoo is sold in two sizes. 1) 500 ml for £1.98 2) 3 litres for £12.80 (now 15% off). Which is better value for money?

Firstly we need to work out the new price of the 3 litres of shampoo after 15% has been taken off. Let's use the three step method for percentages. 100% is £12.80 £12.80/ 100= £0.128 1% is £0.128 £0.128 x 85...
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Answered by Francesca N. • Maths tutor
5080 Views

find the integral of f'(x)=2x+5

f'(x)=2x+5 note that f'(x)=nx n-1 so 2x is originally x 2 as this is 2x 2-1 and 5 is originally 5x 1-1 f(x)= x 2 +5x+c the c is a constant which means it's any real number without an x to it as 0 is ...
ZS
Answered by Zivanayi S. • Maths tutor
3867 Views

How do you factorize a quadratic equation which has a coefficient of x^2 other than 1?

Factorise 6x 2 + x - 2 = 0 Firstly, multiply the coefficient of x 2 by the last number: 6 x -2 = -12 List all the factors of 12 and see which pair adds/subtracts to make 1: Factors of 12: [1,12] [2,6] [3,4] ...
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Answered by Aleezeh A. • Maths tutor
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