Solve this

Given:

$3 x^{2}+5=7 x$

$\Rightarrow 3 x^{2}-7 x+5=0$

Solution of a general quadratic equation $a x^{2}+b x+c=0$ is given by:

$x=\frac{-b \pm \sqrt{\left(b^{2}-4 a c\right)}}{2 a}$

$\Rightarrow x=\frac{-(-7) \pm \sqrt{(-7)^{2}-(4 \times 3 \times 5)}}{2 \times 3}$

$\Rightarrow x=\frac{7 \pm \sqrt{49-60}}{6}$

$\Rightarrow \quad x=\frac{7 \pm \sqrt{-11}}{6}$

$\Rightarrow x=\frac{7 \pm \sqrt{11} i}{6}$

$\Rightarrow x=\frac{7}{6} \pm \frac{\sqrt{11}}{6} i$

Ans: $x=\frac{7}{6}+\frac{\sqrt{11}}{6} i$ and $x=\frac{7}{6}-\frac{\sqrt{11}}{6} i$