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FP1 Topic 3: Complex numbers
Square roots of complex numbers backmore
If z is a root of f(z) = 0 then the complex conjugate z* is also a root.



Summary
When solving a quadratic equation ax2+bx+c = 0 which will not factorise, you should use the formula:
  • quadratic formula
When the roots are complex, they are in fact complex conjugates, ie., of the form a+bi and a-bi.
graphic calculatorA note about graphic calculators
A graphic calculator, for example the TI-83 or similar model, can work with complex numbers.

complex number calculationscomplex number modeFirst select MODE and move down to select a+bi:
Then press 2nd QUIT and enter a complex number calculation.
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