# Worksheet: Cubic Equations

In this worksheet, we will practice solving a cubic equation written as sum or difference of two cubes.

Q1:

Find the value of given that .

• A
• B9
• C6
• D18
• E

Q2:

Given that and , determine the value of .

Q3:

Determine the solution set of the equation in .

• A
• B
• C
• D
• E

Q4:

Solve the following equation , given that is in .

• A
• B
• C
• D
• E

Q5:

Find the value of given that .

• A3
• B
• C
• D

Q6:

Find the value of which satisfies the following equation , given that is in .

• A
• B
• C
• D
• E

Q7:

Solve .

• A
• B,
• C,
• D
• E,

Q8:

If , find the values of and .

• A,
• B,
• C,
• D,

Q9:

Solve .

• A
• B,
• C,
• D,
• E

Q10:

Solve .

• A,
• B
• C
• D,
• E,

Q11:

Find the solution set of in .

• A
• B
• C
• D

Q12:

If , find .

• A
• B
• C
• D

Q13:

Solve .

• A
• B
• C or
• D or
• E

Q14:

Given that , find the value of , and state whether it is a rational or irrational number.

• A4, irrational
• B, rational
• C4, rational
• D, irrational
• E, irrational

Q15:

If possible, find the value of which satisfies , given that is in .

Q16:

Determine the solution set of the equation .

• A
• B
• C
• D
• E