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Find the roots of the equation y=x^2-8x+5 by completing the square.

Firstly, we need to look at completing the square. This is done by looking at the x^2-8x section of the equation. We need to find a way of converting it to the format of (x-a)^2. If you remember, when multip...
AG
Answered by Aaron G. • Maths tutor
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Explain the strengths and weaknesses of Utilitarianism

Introduction: Utilitarianism is a teleological and consequentialist ethical theory that defines right and wrong by the "principle of utility", that it its usefulness to cause more pleasure than pai...
JF
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Solve the inequality x^3 + x^2 > 6x

Start by moving all the terms to one side of the inequality. In this case it's easiest to move the 6x to the left hand side by subtracting 6x from both sides, so that you are left with x^3 + x^2 - 6x > 0....
MS
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Solve the equation " 2sec^2(x) = 5tanx " for 0 < x < π

Firstly, we must recognise that the equation contains two different trigonometric functions (sec() and tan()) and therefore we must rewrite one of these functions in terms of the other. Therefore we will nee...
JB
Answered by Joel B. • Maths tutor
16094 Views

What are the key ideas surrounding homeostasis?

Homeostasis is the maintenance of internal environments within a set narrow range (based around a set point) which is critical for survival. The environment remains relatively stable so reactions can occur a...
DD
Answered by Devajit D. • Biology tutor
4113 Views