Search our library of Maths questions

Top answers

Maths

All levels

Solve x^3 - 25 = 103 - x^3

First, bring -25 to the other side: +25 which gives

x³ = 128 - x³

Now, same with - x³ ( + x³ for both sides), giving

2x³ = 128

Answered by Franziska F. • Maths tutor

2953 Views

How do you use the quadratic formula?

So we use the quadratic formula to find out 2 values of x satisfies the quadratic equation we have been given. First we need to write the quadratic formular down, (x=-b.. etc). If you see, we need to plug...

Answered by Amy B. • Maths tutor

2992 Views

How do I tackle fractional powers?

The main thing to know when answering these sorts of questions is that the denominator of the fraction is the root you take of the given number. For example, 16^1/2 is the same as the sqaure roo...

Answered by Cameron S. • Maths tutor

2898 Views

Integrate sin(x)cos(x)^2 from 0 to π/2

Use substitution u=cos(x) resulting in du=-sin(x)dx: ∫₀^π/2sin(x)cos(x)^2dx = ∫₀^π/2-u^2du = [-1/3 u^3]_x=0^x=π/2 = [-1/3 cos(x)^3]₀

Answered by Benedek S. • Maths tutor

8037 Views

Solve the two equations: Equation 1: 2a - 5b = 11 Equation 2: 3a + 2b = 7

Firstly, you should aim to eliminate one of the unknown values. As b is positive and negative in each equation, this would be a good value to eliminate. Both equations would have to be multiplied to cance...

Answered by Ikraan H. • Maths tutor

6047 Views