Search our library of Maths questions

Top answers

Maths

All levels

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

Observing that 48 = 24 * 2 = 1222 = 443, we can write square root of 48 as being square root of 443, which means that sqrt(48) = 22sqrt(3).Now, we can multiply the new ...

Answered by Dorian G. • Maths tutor

8626 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

Answered by Lauren W. • Maths tutor

3139 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 th...

Answered by Christopher L. • Maths tutor

2562 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...

Answered by Sophia P. • Maths tutor

4588 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

2380 Views