Question

Solve: 6x^2_13x+5=0

please solve this question ​

Answer 1

$6 {x}^{2} - 13x + 5 = 0 \\ 6 {x}^{2} - 3x - 10x + 5 = 0 \\ 3x(2x - 1) - 5(2x - 1) = 0 \\ (2x - 1)(3x - 5) = 0$

Hence,

$2x - 1 = 0 \\ x = \frac{1}{2}$

And,

$3x - 5 = 0 \\ x = \frac{5}{3}$