1.966x^2-7.84x+1=0

Solution for 1.966x^2-7.84x+1=0 equation:

1.966x^2-7.84x+1=0

a = 1.966; b = -7.84; c = +1;
Δ = b2-4ac
Δ = -7.842-4·1.966·1
Δ = 53.6016
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7.84)-\sqrt{53.6016}}{2*1.966}=\frac{7.84-\sqrt{53.6016}}{3.932}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7.84)+\sqrt{53.6016}}{2*1.966}=\frac{7.84+\sqrt{53.6016}}{3.932}
$