💥 Q 04 Prep 2 Question Bank T1

a) Find the solution set for each of the following equations in \( \mathbb{R} \):

1. \( x^3 - 11 = 5 \)

∵ \( x^3 - 11 = 5 \)

∴ \( x^3 = 5 + 11 = 16 \) ∴ \( x = \sqrt[3]{16} \)

∴ The solution set = \( \left\{ \sqrt[3]{16} \right\} \)

2. \( 2x^3 + 13 = 67 \)

∵ \( 2x^3 + 13 = 67 \)

∴ \( 2x^3 = 67 - 13 = 54 \)

∴ \( x^3 = 54 ÷ 2 = 27 \) ∴ \( x = \sqrt[3]{27} = 3 \)

∴ The solution set = \( \left\{ 3 \right\} \)

MR/Nasef.N

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