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At the x-axis, y is always zero at any point. If you want to fnd out whether or not a graph reaches the x-axis, then substitute y=0 into the equation and find the value of x. If it solves, then we know it...

x² -4=0 becomes (x+2)(x-2)=0

Either one of the two brackets has the value of 0.

If the first bracket is zero, then x+2=0, therefore x=-2

If the second bracket is zero, then...

divide fraction by 2

3x+2 / x-1  + 3 = 4

multiply by x-1

3x + 2 + 3x - 3 = 4x - 4

6x -1 = 4x -4

2x = -3

x= -3/2

This problem is a graphical representation of finding the solutions to a pair of simultaneous equations.

In this example we will use the curves y=2x² , and y=x²+1. This is a v...

Quadratic equations can be tricky, to begin with, but once you get the hang of them they can become one of the best maths tools on offer to you. All quadratic equations with real roots can be solved with ...