Question

Solve the given quadratic equation:
2x² - √3x + 1 = 0

Answer 1

By using quadratic formula only we can find the root of the equation . Hope I have cleared your doubt . Send thanks and follow me

Answer 2

To solve this equation, let us apply Quadratic formula

$2{x}^{2} -\sqrt{3}x + 1= 0 \\ \\ a = 2\\ \\ b = -\sqrt{3} \\ \\ c = 1 \\ \\ x_{1,2} = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_{1,2} = \frac{ \sqrt{3} ± \sqrt{ {(-\sqrt{3})}^{2} - 4(2)(1)} }{2 \times 2} \\ \\ x_{1,2} = \frac{ \sqrt{3} ± \sqrt{ 3 - 8} }{4} \\ \\ x_{1,2} = \frac{ \sqrt{3}±\sqrt{ -5} }{4} \\ \\ \\ x_{1,2} = \frac{ \sqrt{3} ± i\sqrt{5}}{4} \\ \\ x_{1} = \frac{ \sqrt{3} + i\sqrt{5}}{4} \\ \\ x_{2} = \frac{ \sqrt{3} - i\sqrt{5}}{4}$
Hope it helps you.