Q12 Prep 3 Algebra Question Bank

a) Find in \(\mathbb{R}\) the solution set of the equation using the general formula approximating the result to three decimal digits: \[x + \frac{4}{x} = 6\]

∴ \( x = 5.236 \) or \( x = 0.764 \)
∴ The S.S. = \( \{5.236, 0.764\} \)

b) Find in \(\mathbb{R}\) the solution set of the equation using the general formula approximating the result to three decimal digits: \[\frac{8}{x^2} + \frac{1}{x} = 1\]

∴ \( x = 3.372 \) or \( x = -2.372 \)
∴ The S.S. = \( \{3.372, -2.372\} \)

c) Find in \(\mathbb{R}\) the solution set of the equation using the general formula approximating the result to three decimal digits: \[\frac{x^2}{9} - \frac{4}{3}x = -2\]

∴ \( x = 10.243 \) or \( x = 1.757 \)
∴ The S.S. = \( \{10.243, 1.757\} \)

MR/Nasef.N