Functions, 2ADV EQ-Bank 08 Solve for \(x\), giving your answers in the simplest form \(a+b\sqrt{c}\) where \(a, b\) and \(c\) are real: \(5 x^2-20 x+4=0\) (2 marks) --- 6 WORK AREA LINES (style=lined) --- Show Answers Only \(x=2 \pm \dfrac{4}{5} \sqrt{5}\) Show Worked Solution \(5 x^2-20 x+4=0\) \(x\) \(=\dfrac{-b \pm \sqrt{b^2-4 a c}}{2 a}\) \(=\dfrac{20 \pm \sqrt{20^2-4 \times 5 \times 4}}{2 \times 5}\) \(=\dfrac{20 \pm \sqrt{320}}{10}\) \(=2 \pm \dfrac{8 \sqrt{5}}{10}\) \(=2 \pm \dfrac{4}{5} \sqrt{5}\)