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Maths
GCSE

What are the different ways to solve a quadratic equation?

There are three main ways to find the roots of a quadratic and they all have different benefits.Firstly, suppose your equation is in the form ax^2 + bx + c where a,b,c are all real numbers. Then you could...

Answered by Maths tutor
2725 Views

Solve the following simultaneous equations to give a value for both x and y: 3x+3y=9 and 2x+3y=5

  1. Subtract the bottom equation from the top equation to get 3x-2x=9-5 (you don't see no y values in this equation as the y's have disappeared and cancelled eachother out as 3y-3y=0)2) So 3x-2x=9-5 equ...
AF
Answered by Amy F. Maths tutor
3338 Views

simplify fully: (3x^2 - 8x -3)/(2x^2 -6x)

First of all, to simplify this fraction, we need to factorise the top and bottom equations. We shall start with the top equation. Now looking at the equation: 3x2 - 8x -3, we know that it's a q...

AH
Answered by Amanda H. Maths tutor
4265 Views

Prove that the product of 3 consecutive integers is divisible by 6

If you set the three consecutive integers to be n, n+1 and n+2, we know that one of the numbers must be divisible by 2 and one must be divisible by 3. For example if you had your three numbers as: 5, 6, 7...

SK
Answered by Shreeya K. Maths tutor
15001 Views

Expand and simplify: 5(x +y) + 3(4x-2y)

I'd first explain how expansion works, and that the first step is to expand the first bracket as shown below:The first bracket expands to: 5x + 5y which equals 5x + 5yThe next step I'd show would...

HJ
Answered by Harvey J. Maths tutor
4040 Views

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