Question

Solve the given quadratic equation:
3x² - 7x + 5 = 0

Answer 1

To solve this equation, let us apply Quadratic formula

$3 {x}^{2} -7x + 5= 0 \\ \\ a = 3\\ \\ b = -7 \\ \\ c = 5 \\ \\ x_{1,2} = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_{1,2} = \frac{ 7 ± \sqrt{ {(-7)}^{2} - 4(3)(5)} }{2 \times 3} \\ \\ x_{1,2} = \frac{ 7 ± \sqrt{ 49 - 60} }{6} \\ \\ x_{1,2} = \frac{ 7±\sqrt{ -11} }{6} \\ \\ \\ x_{1,2} = \frac{ 7 ± i\sqrt{11}}{6} \\ \\ x_{1} = \frac{ 7 + i\sqrt{11}}{6} \\ \\ x_{2} = \frac{ 7 - i\sqrt{11}}{6}$
Hope it helps you.