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Mastering Complex Numbers: Operations & Solutions

Learn to rewrite square roots of negative numbers as complex numbers, find conjugates, and solve quadratic equations with complex solutions in this comprehensive guide.

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Mastering Complex Numbers: Operations & Solutions

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  1. Complex Numbers Section 2.1

  2. Objectives • Rewrite the square root of a negative number as a complex number. • Write the complex conjugate of a complex number. • Add, subtract, multiply, and divide two complex numbers. • Solve a quadratic equation with complex solutions.

  3. Vocabulary • complex number • complex conjugate

  4. Rewrite the following square root so that there is no longer a negative sign under the square root symbol.

  5. Rewrite the following square root so that there is no longer a negative sign under the square root symbol.

  6. Rewrite the following square root so that there is no longer a negative sign under the square root symbol.

  7. Evaluate the expression

  8. Evaluate the expression

  9. Multiply the following two numbers together.

  10. Find the complex conjugate of each of the following:

  11. Multiply the following two numbers together.

  12. Evaluate the expression

  13. Solve the equation:

  14. Solve the equation:

  15. Solve the equation:

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