Q11 Prep 3 Algebra Question Bank

a) Find in IR the solution set of the equation using the general formula approximating the result to three decimal digits: \[ 2x^2 - 10x = 1 \]

∴ \( x = 5.098 \) or \( x = -0.098 \)
∴ The S.S. = \( \{-0.098, 5.098\} \)

b) Find in IR the solution set of the equation using the general formula approximating the result to three decimal digits: \[ x^2 = 3(2 - x) \]

∴ \( x = 1.137 \) or \( x = -2.637 \)
∴ The S.S. = \( \{1.137, -2.637\} \)

c) Solve the equation: \[ \frac{x}{3} = \frac{1}{5 - x} \]

∴ \( x = 4.303 \) or \( x = 0.697 \)
∴ The S.S. = \( \{4.303, 0.697\} \)