Top answers

Maths
All levels

Find the set of values of x for which x(x-4) > 12

When solving this quadratic inequality, we should use a three-step approach. The first step is to reformat the inequality to put one side equal to zero, which is the standard format of a quadratic equatio...

DB
Answered by Daniel B. Maths tutor
12524 Views

Simplify (5-2√3)/(√3-1) giving your answer in the form p +q√3, where p and q are rational numbers

The trick here is to use a technique called the difference of squares. If we multiply the top and bottom of the fraction by the conjugate* of the denominator, we can remove any square root terms from the ...

AW
Answered by A W. Maths tutor
18942 Views

Find the exact solution of the equation in its simplest form: 3^x * e^4x = e^7.

First take natural logs of both sides, giving us: ln(3x * e4x) = ln(e7).  The RHS can be simplified using the definition of natural logs, so ln(e7) = 7.

...

HM
Answered by Hugo M. Maths tutor
4898 Views

Solve 3x^2 - 4x - 6 = 0.

The at first can seem very challenging and you won't be able to tackle this question quickly using simple factorisation, which you can often do for many questions. It is best in this case then to use the ...

AB
Answered by Aodhan B. Maths tutor
3969 Views

Express x^2-7x+2 in the form (x-p)^2+q where p and q are rational. Hence or otherwise find the minimum value of x^2-7x+2

For the first part, use the 'complete the square method', which gives (x-7/2)-49/4+2, simplified to (x-7/2)2-41/4. To find the answer for the second part, set x=7/2 so that the bra...

CW
Answered by Connaire W. Maths tutor
4483 Views

We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences