# Worksheet: Solving Quadratics Using the Formula

Q1:

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

• A
• B
• C
• D

Q2:

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

• A
• B
• C
• D

Q3:

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

• A
• B
• C
• D

Q4:

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

• A
• B
• C
• D

Q5:

The sum of the roots of the equation is . Find the value of and the solution set of the equation.

• A4,
• B ,
• C ,
• D4,

Q6:

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

• A
• B
• C
• D
• E

Q7:

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

• A
• B
• C
• D

Q8:

The dimensions of a rectangle are 5 m and 12 m. When both dimensions are increased by a given amount, the area of the rectangle will double. What is the amount?

Q9:

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

• A
• B
• C
• D

Q10:

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

Q11:

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

• A
• B
• C
• D

Q12:

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

• A
• B
• C
• D

Q13:

By using the quadratic formula, solve the equation . Give your answers correct to two decimal places.

• A ,
• B ,
• C ,
• D ,
• E

Q14:

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.

• A4,
• B9.27,
• C9.79,
• D18.55,
• E20,

Q15:

Given that is one of the roots of the equation , find the other root and the value of .

• A ,
• B ,
• C ,
• D ,
• E ,

Q16:

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

• A
• B
• C
• D
• E

Q17:

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

• A
• B
• C
• D

Q18:

Using the quadratic formula, find all the solutions to .

• A , , ,
• B , , ,
• C ,
• D , , ,
• E ,

Q19:

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

• A
• B
• C
• D

Q20:

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

• A
• B
• C
• D
• E

Q21:

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

• A
• B
• C
• D
• E

Q22:

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

• A
• B
• C
• D
• E

Q23:

The height in feet, , of a golf ball can be found using the equation , where is the time in seconds after it was struck. Will the ball reach a height of 301 feet?

• Ano
• Byes

Q24:

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

• A
• B
• C
• D

Q25:

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

• A
• B
• C
• D