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How do i solve the quadratic x^2 + 5x + 6 = 0 ?

So we can always substitute the right terms into the quadratic formula. However, there might be a quicker way. Lets try and see if the quicker ways work.Firstly, we need to spot weather the difference of two...
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Answered by Tarun S. • Maths tutor
11565 Views

How can i solve the following simultaneous equations? 5x + y = 4 and 3x + 2y = 5?

The general approach to solving simultaneous equations is to replace the ‘y’s in one equation with ‘x’s, or the ‘x’s with ‘y’s. In this case, we can first take the equation 5x + y = 4 and rearrange it to get...
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Answered by Tarun S. • Maths tutor
12340 Views

How do i factorise 20 + 10x?

Firstly, we can take a look at the degree x's in each term. It seems like they share a common degree of 0. In other words, we will not be able to factor out the x's in the expression.Secondly, we need to fin...
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Answered by Tarun S. • Maths tutor
13681 Views

The region R is bounded by the curve y=sqrt(x)+5/sqrt(x) the x-axis and the lines x = 3, x = 4. Find the volume generated when R is rotated through four right-angles about the x-axis. Give your answer correct to the nearest integer.

The general formula for a volume of rotation is pi times the integral of y^2. The first step is to square y. this can be done by squaring the first term, squaring the last term and finding twice the product....
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Answered by Matthew H. • Maths tutor
7044 Views

Rationalise the denominator of the following fraction: 1/(√2 + 1)

We start with 1/(√2 + 1) Normally with rationalising surd denominators we multiply the top and bottom of the fraction by the denominator. But this time we have a surd ADDED by a rational number. In this case...
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Answered by Richard M. • Maths tutor
33638 Views