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Quadratic Equations with Complex Solutions (Algebra 2)

Free printable Algebra 2 algebra worksheet on solving quadratic equations with real coefficients and a negative discriminant, writing the complex-conjugate solutions in a + bi form.

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Algebra 2 · Math worksheet
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Algebra 2: Quadratic Equations with Complex Solutions

Solve each quadratic equation using the quadratic formula. Each discriminant is negative, so write the two complex-conjugate solutions in the form a + bi.

  1. 1.
    Solve over the complex numbers: 2x² - 16x + 34 = 0. Write the solutions in a + bi form.
  2. 2.
    Solve over the complex numbers: 3x² - 30x + 183 = 0. Write the solutions in a + bi form.
  3. 3.
    Solve over the complex numbers: x² + 8x + 52 = 0. Write the solutions in a + bi form.
  4. 4.
    Solve over the complex numbers: x² - 12x + 40 = 0. Write the solutions in a + bi form.
  5. 5.
    Solve over the complex numbers: x² - 8x + 25 = 0. Write the solutions in a + bi form.
  6. 6.
    Solve over the complex numbers: x² + 2x + 17 = 0. Write the solutions in a + bi form.
  7. 7.
    Solve over the complex numbers: x² + 4x + 40 = 0. Write the solutions in a + bi form.
  8. 8.
    Solve over the complex numbers: x² - 12x + 52 = 0. Write the solutions in a + bi form.
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