12x^2-146x+246=0

Solution for 12x^2-146x+246=0 equation:

12x^2-146x+246=0

a = 12; b = -146; c = +246;
Δ = b2-4ac
Δ = -1462-4·12·246
Δ = 9508
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{9508}=\sqrt{4*2377}=\sqrt{4}*\sqrt{2377}=2\sqrt{2377}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-146)-2\sqrt{2377}}{2*12}=\frac{146-2\sqrt{2377}}{24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-146)+2\sqrt{2377}}{2*12}=\frac{146+2\sqrt{2377}}{24}
$