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(6^2 + 8^2)^1/2 = (125a^3)^1/3 Work out the value of a?

(6²+ 8²)^1/2 = (125a³)^1/3(36+62)^1/2 = (125a³)^1/3100^1/2 = (125a³)^1/3+/- 10 = (125...

Answered by Kate S. • Maths tutor

3337 Views

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

7912 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

2850 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

2299 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

3977 Views