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Maths
GCSE

Solve the equation x^2 + 10x + 24 = 0

x2 + 10x + 24 = 0
First we must factorise the equation, which means put it into brackets. To do this we must find two numbers which multiply to equal 24 and add together to make 10. The on...

AA
Answered by Archie A. Maths tutor
10841 Views

Sophie had 3 piles of coins, A, B and C. Altogether there was £72. Pile B had twice as much as pile A. Pile C had three times as much as pile B. How much money was in Pile C?

A + B + C = £722A = B3B = C0.5 B + B + 3B = £724.5 B = £72B = £16C = £48

SR
Answered by Saleema R. Maths tutor
2586 Views

Express x^2+2x+4 in the form (x+a)^2 + b, hence find the stationary point of the curve.

Step 1) x2+2x+4 = (x+1)2+3Step 2) Minimum point occurs at (-1, 3)
I can use the whiteboard to explain it better.

AN
Answered by Anton N. Maths tutor
5981 Views

Work out the equation of the tangent to a circle of centre [0,0] at the point [4,3]

We know that: (1) the radius of the circle to the point [4,3] is perpendicular to the tangent line, (2) if two lines are perpendicular, their gradients are negative reciprocals of each other, and (...

JS
Answered by Jamie S. Maths tutor
6836 Views

How would you convert a recurring decimal to a fraction?

With this question, it is useful to work with a specific example, so let’s take the recurring decimal 0.27. The first step in converting it to a fraction is to set it equal to x, this will help us with ou...

ML
Answered by Matthew L. Maths tutor
4904 Views

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