💥 Q 05 Prep 2 Question Bank T1

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

4. \( 3x^2 - 1 = -13 \)

∵ \( 3x^2 - 1 = -13 \)

∴ \( 3x^2 = -13 + 1 = -12 \)

∴ \( x^2 = -12 ÷ 3 = -4 \)

∴ \( x = \pm \sqrt{-4} \notin \mathbb{R} \)

∴ The solution set = \( \emptyset \)

5. \( 5x^3 - 1 = 4x^3 + 8 \)

∵ \( 5x^3 - 1 = 4x^3 + 8 \)

∴ \( 5x^3 - 4x^3 = 8 + 1 \)

∴ \( x^3 = 9 \)

∴ \( x = \sqrt[3]{9} \)

∴ The solution set = \( \{\sqrt[3]{9}\} \)

MR/Nasef.N

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