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What is the square root of the imaginary number i?

Let's suppose that (0+1i) 0.5 = x+iy, where x and y are both real numbers. This is the most general form of a complex number. Now let's square both sides. This gives 0+1i = x 2 +2i xy - y 2 . We will equate ...
GD
Answered by George D. MAT tutor
3856 Views

How can 'for' be translated correctly in French?

When translating for in French, we have to take into consideration the three prepositions which can be used: d epuis, pendant and pour . The one which is selected depends on the situation and the action bein...
LC
Answered by Lauren C. French tutor
2684 Views

How does Steinbeck represent attitudes to women through the character of Curley's wife?

Curley’s wife is the only major female character in ‘Of Mice and Men’, and as such, she represents all women in Steinbeck’s novella about the futility of the American Dream. Her lack of identity outside of h...
AS
Answered by Aisling S. English tutor
7118 Views

Solve the simultaneous equations (1) 2x+3y=3 and (2) 3x+2y=7

Remember we can multiply both sides of an equation by the same thing without changing the meaning of the equation. Multiplying equation 1 by 2 gives 4x+6y=6 and multiplying equation 2 by 3 gives 9x+6y=21 . S...
ZL
Answered by Zoe L. Maths tutor
6180 Views

How do I find the square root of a complex number?

Say you want to find the square root of the complex number 3+2i. We can assume that the answer we want will be in the form a+bi. It follows then, that you can also write 3+2i as (a+bi) 2 . Expanding this giv...
DC
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