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z = 50 / (3+4i). What is z in a+bi form?

Multiply by complex conjugate z = 50 / (3+4i) * (3-4i) / (3-4i) Rationalise z = 50 ( 3 - 4i) / 25 = 6 - 8i.
IM
8329 Views

Express (5-√ 8)(1+√ (2)) in the form a+b√2 , where a and b are integers

5 + 5√ 2 - √ 8 - √ 16 (Break up all terms in terms of square roots of 2) 5 + 5√ 2 - √ 8 - 4 5 + 5√ 2 - 2 √ 2 - 4 1 + 3√2
IM
Answered by Ignacio M. • Maths tutor
11565 Views

A rectangle has a shorter side with a length of x and a longer side with a length of x + 8, the perimeter of the rectangle is 80cm. Calculate the value of x.

For this question, one would sum the algebraic lengths of the rectangle, creating a result of 4x + 16. This is the algebraic perimeter of the rectangle which must be equated to the numerical value of the per...
BS
Answered by Ben S. • Maths tutor
4182 Views

Can you explain Westphal's views on the development of philosophical thought in 'The emergence of mdoern philosophy'?

In Westphal’s paper, ‘The emergence of modern philosophy of religion’, it is evident that he is focusing on the move from philosophy of theology to that of religion. Whilst the first is god talk, being famou...
MW
3877 Views

'Germany experienced a period of political calm, international security, and social and cultural progress in the mid-1920s'. How far do you agree with the judgement?

'Germany did experience a period of political calm, international security, and social and cultural progress, but only in a relative sense. The years prior and after this period of calm were far more hostile...
JD
Answered by Joe D. • History tutor
3955 Views