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Solve the equation x^{2}-2x-15 = 0

The general format for an equation of this type is ax 2 +bx+c Firstly you should factor the equation. Since in the example given a=1 you know that there will be a single x term in each factor. So you have (x...
EH
Answered by Ella H. • Maths tutor
4328 Views

Rationalise the denominator of 6/√3 and simplify your answer.

'Rationalise the denominator' means that we need to express the fraction in a way which does not have a surd on the bottom. A surd is a way of expressing an irrational number. For example √4 = 2 which is a r...
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Answered by Jessica M. • Maths tutor
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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 fi...
Answered by • Maths tutor
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Solve the following simultaneous equations to give a value for both x and y: 3x+3y=9 and 2x+3y=5

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 equals 1x=4 ...
AF
Answered by Amy F. • Maths tutor
3905 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: 3x 2 - 8x -3, we know that it's a quadratic with...
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Answered by Amanda H. • Maths tutor
5188 Views