Search our library of Maths questions

Top answers

Maths

All levels

Prove that n(n+5) + 2(n+3) is always a product of two numbers with a difference of 5.

n(n+5)+2(n+3) = n²+5n+2n+6 = n²+7n +6 = (n+6)(n+1) = (n+6) x (n+1).
The difference between (n+6) and (n+1) is 5, so this is a product of two numbers with a difference of 5.

Answered by Eleanor G. • Maths tutor

4265 Views

A ball is released from rest at a height of 4m. At what speed does it hit the ground?

First write out information from the question.s=4m u=0m/s v=? a=9.8m/s² t=Choose correct "suvat" equation: v²=u²+2asSubstitute in known variables.Obtain v= 8...

Answered by Molly A. • Maths tutor

3820 Views

Express (x + 1)/((x^2)*(2x – 1)) in partial fractions

(x + 1)/((x^2)*(2x – 1)) = -3/x - 1/x^2 + 6/(2x-1)

Answered by Douglas H. • Maths tutor

5046 Views

solve: 4x^2 + 6x - 4 > 0

4x²+ 6x - 4 > 0 2(2x² + 3x - 2) > 0 2(2x - 1)(x + 2) > 0
2x-1 = 0 --> 2x = 1 --> x = 0.5x+2 = 0 --> x = -2
x = 0.5

Answered by Nicholas H. • Maths tutor

3633 Views

Integrate 2x^4 - 4/sqrt(x) + 3 dx

First we will simplify 4/sqrt(x) so it is easier to integrate.sqrt(x) is equal to x^1/2, therefore 4/sqrt(x) = 4/x^1/2.We bring up x^1/2so 4/x^1/2 becomes 4x^...

Answered by Maleehah A. • Maths tutor

7675 Views