9y2+14y-1764=0

Solution for 9y2+14y-1764=0 equation:

9y^2+14y-1764=0

a = 9; b = 14; c = -1764;
Δ = b2-4ac
Δ = 142-4·9·(-1764)
Δ = 63700
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{63700}=\sqrt{4900*13}=\sqrt{4900}*\sqrt{13}=70\sqrt{13}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-70\sqrt{13}}{2*9}=\frac{-14-70\sqrt{13}}{18}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+70\sqrt{13}}{2*9}=\frac{-14+70\sqrt{13}}{18}
$