Lesson Worksheet: Solving Quadratic Equations with Complex Roots Mathematics
In this worksheet, we will practice solving quadratic equations whose roots are complex numbers.
Q4:
Given that is one of the roots of , determine the value of where .
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Q7:
Find the solution set of .
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Q11:
Solve the equation .
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Q13:
Solve the quadratic equation .
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Q16:
Find the value of such that the quadratic equation has the roots .
Q18:
The product of the roots of the equation is 4. Find the value of and the solution set of the equation.
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Q19:
Factor over the complex numbers.
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Q20:
Given that has a zero at and , determine the values of , , and where they are real numbers.
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Q21:
Given that is one of the roots of the equation , find the other root and the value of .
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Q22:
The sum of the roots of the equation is 1. Find the value of and the solution set of the equation.
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Q23:
Solve , where .
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Q25:
Find, in its simplest form, the quadratic equation whose roots are and .
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