210y^2-319y+121=0

Solution for 210y^2-319y+121=0 equation:

210y^2-319y+121=0

a = 210; b = -319; c = +121;
Δ = b2-4ac
Δ = -3192-4·210·121
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-319)-11}{2*210}=\frac{308}{420}
=11/15
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-319)+11}{2*210}=\frac{330}{420}
=11/14
$