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Maths
A Level

The quadratic equation 2x^2 + 8x + 1 = 0 has roots a and b. Write down the value of a + b, a*b and a^2 + b^2.

Using Vieta's formulas, which make the correspondence between the sums and products of the roots of a polynomial and its coefficients, we can deduce that a + b = (-8)/2 = -4, ab = 1/2 =0.5 and a^2 ...

AI
Answered by Andreea I. Maths tutor
5896 Views

What is a geometric series?

geometric series is a series with a constant ratio between successive terms.

MF
Answered by Ming Fung Y. Maths tutor
4270 Views

What is an Inverse function?

An inverse function is a function that "reverses" another function. That is, if f is a function mapping x to y, then the inverse function of...

MF
Answered by Ming Fung Y. Maths tutor
4824 Views

How do I differentiate f(x) = cos(x)/x?

To answer this question you need to use the quotient rule. dy/dx = (vu' - uv')/v2.

U = cos(x) which differentiates to -sin(x) so u'= -sin(x)

v = x...

EH
Answered by Ewan H. Maths tutor
11006 Views

Express X/((X+1)(X+2)) in partial fractions. OCR C4 style question

This question is asking us to split up the fraction into two separate fractions.To begin we use one of the standard forms for solving partial fractions, this is (A/(X+1))+(B/(X+2)).To solve set the first ...

DS
Answered by David S. Maths tutor
11649 Views

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