Complex roots of quadratic equations
Complex roots of quadratic equations (Question)
Part I: Solve the following quadratic equation
- 3x2 – x + 1
- 2x2 + 3x + 5
Part II: Form the quadratic equation with the following roots
For a quadratic equation:
ax2 + bx + c = 0
Sum of the roots = -b/a
Product of roots = c/a
For the case where the equation the solutions are not real number,
x = -b/2a +/- √(b2-4ac)/2a * i
x = p +/- qi
Thus, the roots are p + qi and p – qi.
Complex roots of quadratic equations (Answer
- 1/6 +/- √(11)/6 i
- -3/4 +/- √(31)/4 i
- x2 + 6x + 8
- x2 + 8x + 41
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