X^2-6.92x+3=0

Solution for X^2-6.92x+3=0 equation:

X^2-6.92X+3=0

a = 1; b = -6.92; c = +3;
Δ = b2-4ac
Δ = -6.922-4·1·3
Δ = 35.8864
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{-(-6.92)-\sqrt{35.8864}}{2*1}=\frac{6.92-\sqrt{35.8864}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6.92)+\sqrt{35.8864}}{2*1}=\frac{6.92+\sqrt{35.8864}}{2}
$