Literacy

1
Literacy
Research
Memory
Who was the first person to use the term
imaginary number. Which other areas of
mathematics is this person famous for?
Imaginary number, complex number, complex
conjugate (notation), Argand diagram
When a quadratic equation with real coefficients
has complex roots these are always a pair of
complex conjugates.
Skill Practice
Stretch
Evaluate the following

• Find the complex roots of the quadratic equation
• Given that , find the value of
  each of the real numbers p and q.
• Find the complex number z which satisfies (2
  i)z (3 - 2i)z 32.
• 4) a) Find the value of the following, giving
  each answer in the form a bi, where a and b
  are integers.
• (i) (2 3i)2
• (ii) (2 3i)4
•  
• b) (i) Given that 2 3i is a root of
  the equation
• find the value of the real constant k.
• (ii) Write down another root of the
  equation .

Use your result to determine
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AQA FP1