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

Q1:

Find the value of 𝑦 given that ( 2 𝑦 − 1 4 ) − 3 6 = 2 8 3 .

Q2:

Given that 𝑥 ∈ ℝ and − 𝑥 1 0 = 1 0 0 𝑥 2 , determine the value of 𝑥 .

Q3:

Determine the solution set of the equation 3 1 − 6 𝑥 = − 2 2 2 𝑥 − 6 9 8 3 3 in ℝ .

Q4:

Solve the following equation 5 4 𝑥 + 1 8 1 4 = − 1 8 6 3 , given that 𝑥 is in ℝ .

Q5:

Find the value of 𝑦 given that − 1 0 0 0 𝑦 − 2 7 = 0 3 .

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