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What is a surd? How would you go by simplifying a surd?

A surd is an irrational square root which cannot be reduced to a whole number when squared. When you think of the square root of 4, the answer is 2. When you think of the square root of 9, the answer is 3. H...
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Answered by James O. Maths tutor
8036 Views

Why does sin^2(x)+cos^2(x)=1?

We can understand this identity in two different, useful ways. Firstly, we can use Euler's identities from trigonometry to obtain the desired result using straightforward algebra. We know that: [1] sin(x) = ...
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Answered by Alex M. Maths tutor
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How could you sketch a graph for y=x^2-10x+21?

This is a quadratic equation. We can recall that this means the graph will have a parabolic shape. Next we need to do a little bit of manipulation to get our final bits of information. So we want to know whe...
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Answered by Farhin Y. Maths tutor
6274 Views

How do you factorize a quadratic expression?

Firstly, your quadratic equation will be of the form ax 2 + bx + c where a, b and c will be numbers. Now you have to multiply a by c to get a number, say d. From this number d, you need to find 2 factors of ...
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Answered by Sachin P. Maths tutor
3949 Views

Can you explain how to divide mixed number fractions?

This is a super common question, and once you know which steps to take when, it is rather simple and just takes practise! First of all, these are the steps that you need to take: 1) Convert the mixed number ...
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Answered by Nicole B. Maths tutor
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