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Maths
GCSE

Show that (4x – 5)^2 – 5x(3x – 8) is positive for all values of x

(4x-5)^2-5x(3x-8)

(16x^2-40x+25)-(15x^2-40x)

16x^2-15x^2-40x+40x+25

x^2+25

if x = positive, x^2 will be positive.

if x = negative, x^2 will be positive.

x^2 is po...

JM
Answered by Joseph M. Maths tutor
3589 Views

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

x=0.81

AS
Answered by Amelia S. Maths tutor
2781 Views

You are shown a diagram of a right angled triangle, with the hypotenuse labelled c and the other sides labelled a and b. If a is 7m long and c is 10m long, what is the length of b?

A simple implementation of Pythagoras' Theorem a2+b2=h2, and as in the question c is the hypotenuse, a2+b2=c2. (Side Note - in exams, the ...

WH
Answered by William H. Maths tutor
3914 Views

Solve the simultaneous equations: 2x - y = 4 and x + 2y = 7

Solve: 2x - y = 4  and x + 2y = 7

There are two methods to solve this, you can either calculate one of the variables from either equations and then substitute to the second one or try to multiply o...

EK
Answered by Eliza K. Maths tutor
15119 Views

Work out the value of 2a^2 + b^3 when a = 5 and b = –3

It is best to approach this question in parts, then combine the parts to find your solution. This question may be split into parts, as follows: Firstly, if a = 5, then a2 = 52 = 5 x ...

TD
Answered by Tutor51449 D. Maths tutor
12837 Views

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