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Notes 5.7

Imaginary/Complex Numbers Complex Conjugates. Notes 5.7. Notes 5.7 Given the fact i 2 = ________ The imaginary number is _____ w hich equals _____. Complex numbers are written in the form: _______________ Where “a” is a real number and bi is an imaginary number.

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Notes 5.7

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  1. Imaginary/Complex Numbers Complex Conjugates Notes 5.7

  2. Notes 5.7 Given the fact i2 = ________ The imaginary number is _____ which equals _____ Complex numbers are written in the form: _______________ Where “a” is a real number and bi is an imaginary number Simplify expression vs. Solving equation

  3. Complete the chart about roots Rational Irrational Imaginary Irrational Rational Imaginary

  4. Simplify numbers with imaginary numbers -1 -i 1 -i 1

  5. Complex numbers are written in the form: ___________ Where a is a real number and bi is an imaginary number The complex conjugate is _____________ We will use complex conjugates to simplify division problems where a ______________ _________________ is in the denominator complex number

  6. Operations with imaginary/complex numbers The 2nd problem shows complex conjugates being multiplied

  7. Division with imaginary/complex numbers Multiply by a form of 1

  8. Division with imaginary/complex numbers Multiply by a form of 1

  9. Is 5+i a solution (root/zero) of the function f(x) = x2 – 10x + 26 ? YES,5+i is a root

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