# Worksheet: Forming a Quadratic Equation Using Another Quadratic Equation

In this worksheet, we will practice writing a quadratic equation given the roots of another quadratic equation.

**Q2: **

Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .

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**Q3: **

Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .

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**Q4: **

Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .

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**Q5: **

If and are the roots of the equation , what is the value of ?

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**Q6: **

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**Q10: **

If and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .

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**Q11: **

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**Q12: **

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**Q13: **

The roots of the equation are and , where . Find the value of , and determine, in its simplest form, the equation whose roots are and .

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**Q17: **

If and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .

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**Q18: **

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**Q19: **

If and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are and .

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**Q20: **

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**Q21: **

The roots of the equation are and , where . Find, in its simplest form, the quadratic equation whose roots are and .

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**Q22: **

Given that and are the roots of the equation , find, in its simplest form, the quadratic equation whose roots are 2 and .

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**Q23: **

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