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How can we simplify sqrt(48) - 6/sqrt(3) ?

Observing that 48 = 24 * 2 = 12 2 2 = 4 4 3, we can write square root of 48 as being square root of 4 4 3, which means that sqrt(48) = 2 2 sqrt(3).Now, we can multiply the new result 2 2 sqrt(3) with sqrt(3)...
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Answered by Dorian G. • Maths tutor
10631 Views

What is the centre and radius of the circle with the equation x(x-2)+y(y+6)+4=0 ?

x(x-4)+y(y+6)+4=0x^2-4x+y^2+6y+4=0x^2-4x+4+y^2+6y+9=9(x-2)^2+(y+3)^2=9=3^2centre (2,-3) radius 3
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Answered by Lauren W. • Maths tutor
3740 Views

I struggle with modelling with differential equation, is there an easier way of interpreting this type of wordy question?

I would let the student identify what the important elements of the question are and encourage them to assign each with a term or other mathematical notation. I would then go through these to make sure the s...
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Answered by Christopher L. • Maths tutor
3125 Views

Find the co-ordinates where the curve y= 2x^2 + 7x + 3 crosses the x axis

At the x axis, y = 0 so the equation can be made equal to zero. For a polynomial of the form ax^2 + bx + c = 0, find the value of ac. E.G ac is 2*3 = 6. Determine the two numbers which give a sum equal to b ...
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Answered by Sophia P. • Maths tutor
6000 Views

Integrate 1/u(u-1)^2 between 4 and 2

Please see this document which contains a scanned copy of my answer.https://docs.google.com/document/d/1A9idRZsUAy5QMLSJNDQEun-l7mSEjpRLx_Jwx44JoqY/edit?usp=sharing
Answered by • Maths tutor
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