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Factorise the quadratic equation: 3x^2+x-2

3x^2+3x-2x-2
3x(x+1)-2(x+1)
(3x-2)(x+1)

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Why do you put the quadratic equation equal to zero when you want to find it’s roots?

It is better to think of it as substituting one equation into another, rather than thinking of it as ‘making it equal to zero’. Say you have a quadratic equation y = x^2 - x - 6 and you want to find it’s ...

Answered by Nadiyah G. • Maths tutor

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The function f is defined by f(x)= 2/(x-3) + x - 6 . Determine the coordinates of the points where the graph of f intersects the coordinate axes.

If you look at a set of x,y-axes, and imagine any curve going through both axes (you don't have to be able to imagine what this graph of f looks like just yet). Now imagine the part of the graph that cros...

Answered by Natalie T. • Maths tutor

4245 Views

Solve the simultaneous equations x + y = 2 and x^2 + 2y = 12

x+y=2 (1) x²+2y=12 (2) As we are dealing with x² we’re going to have to use substitution to solve this set of simultaneous equations. From the first equation, we can rearrange to mak...

Answered by Ayesha K. • Maths tutor

4859 Views

It would take 120 minutes to fill a swimming pool using water from 5 taps. How many minutes will it take to fill the pool if only 3 taps are used?

It would take 120 minutes to fill a swimming pool using water from 5 taps. How many minutes will it take to fill the pool if only 3 taps are used?Firstly, you need to find how long it would take to fill a...

Answered by paige g. • Maths tutor

30018 Views