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Find the value of x: x^2-3x-3=1

To begin this question you need to bring all of the terms to one side, so the equation equals 0. It is easiest to do this by subtracting 1 from each side.x^2-3x-3-1=1-1x^2-3x-4=0Now we need to factorise t...

Answered by Emma H. • Maths tutor

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History GCSE Cold War - Why did the Soviet Union invade Hungary in 1956?

Structure of the answer:This essay should include a clear introduction, between 2 - 4 clear and distinct paragraphs, and a conclusion. The introduction should lay out your main arguments ...

Answered by Elizabeth A. • History tutor

9252 Views

The height x metres, of a column of water in a fountain display satisfies the differential equation dx/dt = 8sin(2t)/(3sqrt(x)), where t is the time in seconds after the display begins. (a) Solve the differential equation, given that x(0)=0

Our DE (Differential Equation) dx/dt = 8sin(2t)/(3sqrt(x)) is separable because dx/dt can be expressed as a product of two functions of the form dx/dt = f(t)g(x) = (8sin(2t)) * (1/(3sqrt(x))).To solve the...

Answered by James M. • Maths tutor

6835 Views

What is the equation of the straight line perpendicular to the midpoint of the straight line that passes through (0,5) and (-4,7)?

Firstly, it's important to note that the question concerns straight lines, so it will be possible to express the answer in the form y=mx+c where m is the gradient and c is the y...

Answered by Adam L. • Maths tutor

4158 Views

Pourquoi est-ce que la musique est si populaire ? A votre avis, l’influence de la musique, est-elle positive ou négative ?

La musique a de tous temps fait partie intégrante des cultures, ralliant les sociétés par-delà les castes, les clivages politiques ou les conflits religieux. Je défendrai l'influence bénéfique de la musiq...

Answered by Gaspard P. • French tutor

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