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How can I factorise a quadratic equation?

A quadratic equation is an equation of the form y = a x 2 + b x + c where a, b and c are constants (for example 5, -2 or 0). To "solve" a quadratic equation we are finding the values of x that sati...
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Answered by Tom R. Maths tutor
3776 Views

Work out the value of (√12 + √3) squared. Assume square roots are positive.

(√12 + √3) squared is just (√12 + √3) mulitipled by itself, so we can rewrite this as (√12 + √3)*(√12 + √3) Now we expandthe brackets. We can mulitply out the brackets using the FOIL method. (First Outside I...
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Answered by Lauren M. Maths tutor
40481 Views

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
11643 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
12419 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
13745 Views