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Maths
A Level

Solve the equation (z+i)^*=2zi+1.

STEP 1: What the questions asks us is to find z that solves the equation given. Since z is a complex number, we need to determine both its real and imaginary parts. Hence, we begin by writing z in terms o...

TD
Answered by Tutor179220 D. Maths tutor
3068 Views

Solve the following equation: x^3 + 8x^2 + 4x - 48=0

To solve a cubic equation, you first have to guess at values for x that will solve the equation. Generally, it is good practice to start with 0, then use +/- 1, +/- 2 and so on until you find a value that...

RB
Answered by Richard B. Maths tutor
3944 Views

Given the points P(-1,1) and S(2,2), give the equation of the line passing through P and perpendicular to PS.

First, we can find the slope of the line PS, with the help of the formula m = (y2- y1)/(x...

KS
Answered by Kalina S. Maths tutor
2743 Views

Find the integral of (2(3x+2))/(3x^2+4x+9).

Start by expanding out the bracket on the top of the fraction to get (6x+4)/(3x2+4x+9). Then using the trick of identifying that the fraction is in the form [g(x)]/[f(x)] where f’(x)=g(x), the ...

EN
Answered by Elise N. Maths tutor
2891 Views

Factorise completely x − 4 x^3

= x(1-4x^2)From difference of two squares method,= x(1-2x)(1+2x)

CT
Answered by Christopher T. Maths tutor
5674 Views

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