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solve z^4=2(1+isqrt(3)) giving roots in form r(cos(theta)+isin(theta))

Sorry but it's a little hard to write the question out! I have the working on paper but I can't upload it. Ok so first you need to multiply out the brackets to make it a little easeier to look at and obtain ...
RL
Answered by Robert L. • Maths tutor
6855 Views

How do I find the intersection of a line and a curve?

Say you are given the equations of both a line and a curve, for example y=x 2 +8x-1 and y=3x-7 , and asked to find where these two intersect. This just means where the two lines would cross or touch if drawn...
LM
Answered by Lauren M. • Maths tutor
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Solve the simultaneous equations 2x + 3y = 4, 3x + 6y = 3

Label the equations (1): 2x + 3y = 4 (2): 3x + 6y = 3We need the same number of x's or y's in the equations, so multiply (1) by 3 and (2) by 2 giving (3): 6x + 9y = 12 (4): 6x + 12y = 6Subtract (3) from (4) ...
SS
Answered by Sophie S. • Maths tutor
10596 Views

Solve the quadratic equation x^2 + 3x + 2 = 0, by factorisation.

We need two numbers, a and b, such that a*b = 2 and a+b=3Looking at the equation it can be seen that 2 and 1 fulfill these conditions.Therefore x 2 +3x +2=0 = (x+2)(x+1)=0This means we need either x+2 or x+1...
SS
Answered by Sophie S. • Maths tutor
7833 Views

How do you factorise a quadratic equation?

Often quadratic equations of the form a x 2 + b x+ c =0 can be easily solved by factorising. First, find pairs of numbers that multiply together to make c . Note that if c is positive, the two numbers will h...
MM
Answered by Matt M. • Maths tutor
5248 Views