In this worksheet, we will practice solving quadratic equations using the quadratic formula.

Q1:

Solve the equation .

• A
• B
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• D

Q2:

Find the solution set of the equation , giving values to two decimal places.

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• D

Q3:

Find the solution set of in , giving values to two decimal places.

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• E

Q4:

Find the solution set of the equation , giving values to one decimal place.

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• D

Q5:

Find the solution set of the equation , giving values to three decimal places.

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• E

Q6:

Find the solution set of the equation in , giving values to one decimal place.

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• D

Q7:

A student correctly substitutes values into a quadratic formula as follows: . What is the quadratic equation they were trying to solve?

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Q8:

Given that is a root of the equation , find the set of possible values of .

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Q9:

Using the quadratic formula, find all the solutions to .

• A, , ,
• B, , ,
• C,
• D, , ,
• E,

Q10:

Use the quadratic formula to find all the values of for which the roots of the equation differ by exactly 10. Give your answers correct to two decimal places if necessary.

• A20,
• B9.27,
• C4,
• D9.79,
• E18.55,