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Maths
A Level

The line AB has equation 5x + 3y + 3 = 0. The point with coordinates (2k + 3, 4 -3k) lies on the line AB. How do you find the value of k.

This kind of question requires correct substitution by setting the x in the original equation equal to the x value of the point ( 2k+3) and setting the y value of the original equation to the y value of t...

Answered by Kelvin N. Maths tutor
3570 Views

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...

Answered by Tutor179220 D. Maths tutor
2813 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...

Answered by Richard B. Maths tutor
3729 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...

Answered by Kalina S. Maths tutor
2564 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 ...

Answered by Elise N. Maths tutor
2683 Views

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