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Maths
GCSE

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

j = 2, k = 7

CE
Answered by Catherine E. Maths tutor
2869 Views

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 ...

KC
Answered by Katie C. Maths tutor
9414 Views

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...

FG
Answered by Freddie G. Maths tutor
4390 Views

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...

OH
Answered by Olivia H. Maths tutor
8044 Views

Write x^2+6x-7 in the form (x+a)^2+b where a and b are integers

Complete the square.We want a quadratic we can simplify.Halve the linear term coefficient (6) and square it.Add it to the (x2+6x) term and subtract it from the 7.x2+6x+(6/2)2

GB
Answered by George B. Maths tutor
17024 Views

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