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Maths
GCSE

Solve by factorisation. 2x(^2)+5x-12=0

To factorise and solve for x, open two sets of brackets, i.e: (x )(x ). For this question note than one x should be replaced by 2x such that (2x )(x ). List the pairs of numbers that give a product of 12,...

EW
Answered by Emily W. Maths tutor
7368 Views

Prove algebraically that the square of any odd number is always also an odd number.

Firstly, an algebraic expression of an odd number should be identified, such as 2n+1 or 2n-1. Doing this would also indicate the knowledge that 2n is always an even number, which will be important further...

MH
Answered by Matthew H. Maths tutor
20825 Views

Sketch the graph of y= (x^2) -2x -3 labelling the turning points and points of intersection

The gradient of the curve equals the first derivative.dy/dx = 2x - 2At the turning point the gradient equals zero.2x -2 = 02x = 2 x= 1to find the y co-ordinate to this point substitute x = 1 into the orig...

LC
Answered by Lavana C. Maths tutor
6262 Views

Prove that the difference of the square of two consecutive odd numbers is always a multiple of 8. [OCR GCSE June 2017 Paper 5]

Part 1 of this question asks you to explain why 2n+1 is an odd number, so it is assumed that the student knows this already. The definition of any odd number is 2n+1. Since all consecuti...

JJ
Answered by Jon J. Maths tutor
9273 Views

Work out the value of 27 ^-2/3

In order to answer this question we should first break it down into simpler parts.

Using the law of indices we can start this process.

DW
50128 Views

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