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Find all real solutions of (x^2 +4x +3)^(x^2 -6x+8) = 1

Rewrite as a^b = 1, where a = x^2+4x+3 and b = x^2-6x+8List the cases for which a^b = 1Case 1: a = 1:So x^2+4x+3=1 => x^2+4x+2=0 => x=-2 +/- sqrt(2)Case 2: b=0, a ≠ 0:b=(x-4)(x-2) => x = 2, x=4Check...
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Answered by Nicholas M. • PAT tutor
1567 Views

Rationalise the surd: 2/root(x)

To rationalise a surd means to manipulate a fraction involving terms which are being square rooted so that no term in the denominator is being square rooted. For this example 2/root(x) we multiply the fracti...
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Answered by Daniel T. • Maths tutor
11398 Views

What did you do over the holidays?

This question helps the student practice using the past tense and using vocabulary related to travel and hobbies. Example Answer:Ces dernières vacances je suis parti en Espagne avec deux familles- la mienne ...
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Answered by Beatrice D. • French tutor
4228 Views

How do I structure an A level exam response?

An A level question requires a sound structure in order for the content to answer the question. The standard point, evidence, explain structure can be developed in order to meet the required assessment objec...
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Answered by Tom M. • English tutor
4292 Views

What are enjambement and caesura? Why are they important/what are their effects?

They are different techniques usually used in poetry. Enjambement is run-on lines, that is, lines that do not have punctuation at the end but flow on immediately to the next line. It links ideas together and...
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Answered by Maryann P. • English tutor
15118 Views