6+31x-30x^2=0

Solution for 6+31x-30x^2=0 equation:

6+31x-30x^2=0

a = -30; b = 31; c = +6;
Δ = b2-4ac
Δ = 312-4·(-30)·6
Δ = 1681
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1681}=41$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(31)-41}{2*-30}=\frac{-72}{-60}
=1+1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(31)+41}{2*-30}=\frac{10}{-60}
=-1/6
$