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Maths
A Level

Solve the equation 2x^3 - 5x^2 - 4x + 3 = 0.

In order to answer this question, the expression on the left side of the equation needs to be factorised. This can be done in three stages. 1) finding a factor by subbing in common integers (0, +/- 1, +/-...

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Core 3 Differentiation: If y = (3x^2 + 2x + 5)^10, find its derivative, dy/dx. Hint: Use the chain rule.

The function y = (3x2+2x+5)10 is an example of a "function within a function", which means the thing in the brackets is a function itself, and it's being raised to the powe...

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Find X log(x)=4 Base 10

Log base 10log(x)=4 ~ 104 =xx=10000

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Solve the simultaneous equations y+4x+1 = 0 and y^2+5x^2+2x = 0

x = -1/3 and y = 1/3 or x = -1/7 and y = -3/7

Answered by Mustafa Q. Maths tutor
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Prove that 1 + tan^2 x = sec^2 x

We know that tan x = sin x/cos x and so tan2x = sin2x/cos2x. We also know that sin2x + cos2x = 1 because this is a Pythagorean identity. We can rewri...

Answered by Eleanor F. Maths tutor
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