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Factorise 5a – 3a^2

Answer: a(5-3a)Explanation: We take the highest common factor of both of the terms, which is a and we put it outside of the bracket. Then, in the bracket we put two terms that when multiplied by a, the pr...

Answered by Christina M. • Maths tutor

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Solve the following simultaneous equations: 6j+4k=40; 7j-3k=-7

j = 2, k = 7

Answered by Catherine E. • Maths tutor

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Given that x^2+10x+3 can be written in the form (x+a)^2+b, find the values of a and b.

We can tackle this question by completing the square. Completing the square allows us to write a quadratic equation (x^2+10x+3) in the simpler form (x+a)^2+b.To complete the square, first we need to find ...

Answered by Katie C. • Maths tutor

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How do I factorise difficult quadratic equations?

A quadratic equation such as 6x² + x - 35 = 0 may appear much harder to solve than a simpler equation which students might be more used to, such as x² + 5x + 6 = 0. In reality, there...

Answered by Freddie G. • Maths tutor

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A stone is thrown upwards with a speed of v metres per second. The stone reaches a maximum height of h metres. h is directly proportional to v^2. When the stone is thrown at 10m/s, max height is 5m. Work out the maximum height reached when v = 24.

(Question 20 in AQA calculator paper from November 2017)This question is really wordy, so the first thing we want to do is condense all the information we are given into more manageable equations! The fir...

Answered by Olivia H. • Maths tutor

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