Question

Solve the following quadratic equation using formula method only

${\displaystyle 2{\text{x}}^2-2\sqrt{6}+3=0}$

Answer 1

${\displaystyle 2{\text{x}}^2-2\sqrt{6}+3=0}$

a = 2 ; b = ${\displaystyle -2\sqrt{6}\text{x}}$ ; c = 3

D = b² - 4ac

= (- 2 sqrt 6)² - 4(2)(3)

= 12 - 24

= -12

x = ${\displaystyle \frac{-\text{b}\pm \sqrt{{\text{b}}^2-4\text{ac}}}{2a}}$

x = ${\displaystyle \frac{2\sqrt{6}\pm \sqrt{-}12}{2}}$

x = ${\displaystyle \frac{2\sqrt{6}}{4}}$

x = ${\displaystyle \frac{\sqrt{6}}{2}}$