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Factorise x² + 6x + 8

A quadratic equation is written in the form: ax 2 + 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 numbers so the eq...
LM
Answered by Laila M. • Maths tutor
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Solve the following simultaneous equations: 1) 2x + 7y = 12 2) 4x = 14 - 4y

×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
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Answered by Bernardo S. • Maths tutor
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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 need to fin...
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Answered by Gautham R. • Maths tutor
3868 Views

Integrate (x+3)/(x(x-3)) with respect to x

The easiest way to solve this is to split the fraction into partials.Using partial fractions, we get A/(x-3)+B/x=x+3/(x(x-3)) implies Ax+B(x-3)=x+3We want to find the values of A and B that solve this, so we...
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Answered by Robin S. • Maths tutor
3812 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 even). So squaring ...
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Answered by Robert H. • Maths tutor
3202 Views