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

Q1:

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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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:

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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Q7:

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

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Q8:

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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Q9:

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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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:

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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Q12:

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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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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Q14:

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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Q15:

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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Q16:

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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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:

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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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:

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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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:

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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Q24:

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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Q25:

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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