12x^2-61x+70=0

Solution for 12x^2-61x+70=0 equation:

12x^2-61x+70=0

a = 12; b = -61; c = +70;
Δ = b2-4ac
Δ = -612-4·12·70
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-61)-19}{2*12}=\frac{42}{24}
=1+3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-61)+19}{2*12}=\frac{80}{24}
=3+1/3
$