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Solve x^2+8x-5 = 0 by completing the square.

x 2 + 8x = (x + 4) 2 - 16, so x 2 + 8x - 5 = (x + 4) 2 - 16 - 5 = (x + 4) 2 - 21, so then (x + 4) 2 - 21 = 0 (x + 4) 2 = 21 -----> x + 4 = √21 -------> x = -4 + √21 x = -4 - √21
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Answered by Shadab J. Maths tutor
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How do I begin analysing the unseen poem during the exam?

The idea of an unseen poem in an exam setting can be extremely unnerving- but if you set yourself up to feel comfortable reading and analysing poems you haven't studied before, you will have the tools to pic...
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Answered by Hannie P. English tutor
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Differentiate artanh(x) with respect to x

First we set y=artanh(x). Then we rearrange such that tanh(y)=x. There several approaches to find dy/dx, but the quickest is to use implicit differentiation. The differential of tanh(y) is sech 2 y. We diffe...
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titration calculation: 35cm3 of Hydrochloric Acid reacts with 27.5cm3, 0.3mol/dm3 NaOH. What is the Concentration of the Hydrochloric Acid?

Write out what you know: HCL - VOL: 35 --- CONC: (x) --- MOL: (x) NaOH - VOL: 27.5 --- CONC: 0.3 --- MOL: (x) Realise what you can work out - Mol of NaOH in this case Mol = Conc x (Vol/1000) so Mol = 0.3 x (...
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Answered by Ghazn K. Chemistry tutor
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menstrual cycle and contraceptive pills

FSH it causes an egg to mature in an ovaryit stimulates the ovaries to release the hormone oestrogen. Oestrogen it stops FSH being produced - so that only one egg matures in a cycleit stimulates the pituitar...
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Answered by Ghazn K. Biology tutor
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