30d^2-89d+63=0

Solution for 30d^2-89d+63=0 equation:

30d^2-89d+63=0

a = 30; b = -89; c = +63;
Δ = b2-4ac
Δ = -892-4·30·63
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-89)-19}{2*30}=\frac{70}{60}
=1+1/6
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-89)+19}{2*30}=\frac{108}{60}
=1+4/5
$