WRITE A QUADRATIC EQUATION WITH COMPLEX ROOTS WORKSHEET

Find all quadratic equations with real coefficients and roots of:

Problem 1 :

3 ± i

Problem 2 :

1 ± 3i

Problem 3 :

-2 ± 5i

Problem 4 :

√2 ± i

Problem 5 :

2 ± √3

Problem 6 :

0 and -2/3

Problem 7 :

± i√2

Problem 8 :

-6 ± i

Answer Key

1) a(x² - 6x + 10) = 0 where a ≠ 0

2) a(x² - 2x + 10) = 0 where a ≠ 0

3) a(x² + 4x + 29) = 0 where a ≠ 0

4) a(x² - 2√2x + 3) = 0 where a ≠ 0

5) a(x² - 4x + 1) = 0 where a ≠ 0

6) a(3x² + 2x) = 0 where a ≠ 0

7) a(x² + 2) = 0 where a ≠ 0

8) a(x² + 12x + 37) = 0 where a ≠ 0