Top answers

Maths
All levels

Solve the equation 3(x+1) = 21

When solving an equation with brackets, it is often easiest to expand the brackets first.3(x+1) = 21becomes...3x + 3 = 21Now this looks like an equation we know how to solve(minus three from both sides)3x...

JM
Answered by James M. Maths tutor
4655 Views

Solve the equation 5m-2=16-4m

Our ultimate goal is to figure out what m equals.The most important thing to remember is that whatever you do to the left you also do to the right.Let us start by adding 4m to both sides: 5m+4m-2=16-4m+4 ...

LW
Answered by Lara W. Maths tutor
3293 Views

Let (x + 3) be a factor of the polynomial P(x) = x^3 + ax^2 - 7x + 6. Find a and the other two factors.

Firstly, (x - c) is a factor of a polynomial P(x) if and only if there exists a polynomial Q(x) such that P(x) = (x - c)Q(x), where c is a real or complex constant.
Therefore, we can write: P(x) = x...

Answered by Maths tutor
1589 Views

Let n be a positive integer. Find the continuous functions f:ℝ->ℝ with the property that integral from 1 to x of f(ln(t)) dt=x^n ln(x) for all positive real numbers x.

Differentiating the integral equation with respect to x we obtain: f(ln(x))=nxn-1ln(x)+xn-1=x

Answered by Maths tutor
1594 Views

integration by parts: x^-2lnx

u=lnx du/dx = 1/x dv/dx=x^-2 v= -1/x =uv - (integral of)vdu/dx (-lnx)/x + integral of x^-2 =(-lnx)/x - 1/x +c

FS
Answered by Fraser S. Maths tutor
4445 Views

We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning