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Maths
GCSE

Factorise 2x^2+5x - 3

When factorising a quadratic expression the aim is to put the expression into brackets. Step 1: Label each expression as a b c2x2 = a 5x = b -3 = cStep 2: Multiply a with c number 2 * -3 = -6 Step 3: Know...

VA
Answered by Victoria A. Maths tutor
5098 Views

Factorise x² + 6x + 8

A quadratic equation is written in the form: ax2 + bx + cTo factorise, we need to know what 2 numbers multiply to make ac and add to make bac= 8b=64 x 2=8 4+2 = 6We replace b for these two numb...

LM
Answered by Laila M. Maths tutor
6421 Views

Solve the following simultaneous equations: 1) 2x + 7y = 12 2) 4x = 14 - 4y

  1. ×2 --> 4x + 14y = 241) - 2) --> 4x + 14y - 4x = 24 - 14 - (-4y) 14y = 10 + 4y10y = 10 --> y = 14x = 14 - 4 (1)x = 10/4 = 2.5x = 2.5 & y= 1
BS
Answered by Bernardo S. Maths tutor
3109 Views

Find max point of y=-x^2-5x-10

Can either differentiate or using the completing the square method. Differentiation not covered at GCSE so completing the square should be done to get -((x+5/2)2+15/4). To find the max point we...

GR
Answered by Gautham R. Maths tutor
3123 Views

Prove that the square of an odd number is always 1 more than a multiple of 4. [Edexcel Higher Tier 2018, Paper 1: Question 12]

We want to start with “the square of an odd number” and show something. Remember that any odd number can be expressed as 2n+1 (an even number is 2n, and any odd number is 1 larger than an...

RH
Answered by Robert H. Maths tutor
2694 Views

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