Introduction to Complex Numbers (Edexcel A-Level Further Mathematics): Quizzes

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Introduction to Complex Numbers
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What is the value of i2i^2?

−1-1

For the complex number z=3+4iz = 3 + 4i, what is the imaginary part?

44

Calculate (2+3i)+(1+4i)(2 + 3i) + (1 + 4i).

3+7i3 + 7i

Calculate (5+2i)−(3+6i)(5 + 2i) - (3 + 6i).

2−4i2 - 4i

Calculate (3+2i)(1+4i)(3 + 2i)(1 + 4i).

−5+14i-5 + 14i

What is the conjugate of a+bia + bi?

a−bia - bi

Calculate 2−i4+3i\frac{2 - i}{4 + 3i}.

15−25i\frac{1}{5} - \frac{2}{5}i

To divide complex numbers, multiply numerator and denominator by what?

Conjugate of denominator

Calculate (2+3i)(4−i)(2 + 3i)(4 - i).

11+10i11 + 10i

Solve z2−2z+17=0z^2 - 2z + 17 = 0 by completing the square.

z=1±4iz = 1 \pm 4i

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