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How do you factorise quadratic equations?

Any quadratic equation, that is, an equation of the form ax 2 +bx+c=0, can be factorised , which means it is broken down into its linear factors . This means it will be of the form (x+m)(x+n). (We'll only co...
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Answered by Andrew B. • Maths tutor
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How do I 'simplify' a surd?

Simplifying a surd means to express it using smaller numbers, making it easier to use in calculations. There are a couple of facts you will need to learn about surds, these are, 1) sqrt(a x b) = sqrt(a) x sq...
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Answered by Joanna Z. • Maths tutor
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A curve C has equation 2^x + y^2 = 2xy. How do I find dy/dx for the curve C?

This question requires an understanding of implicit differentiation, a specific form of the chain rule for derivatives. (Aside/reminder) - Implicit function vs Explicit function: Explicit functions : y may b...
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Answered by Jesse C. • Maths tutor
13393 Views

Work out 7/8 × 3/4

To solve this question we first need to multiply the top part of the two fractions together to get the top part of the answer: 7×3=21. Then we need to multiply the bottom part of the two fractions together t...
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Answered by Louise H. • Maths tutor
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A curve has equation y=2x^3. Find dy/dx.

We differentiate here to find the gradient, dy/dx, i.e. the differenitial of y in terms of x. As the right handside is purely dependant on x, this is simple. We can just multiply through by the power, i.e. 2...
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Answered by Claire T. • Maths tutor
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