x2+3.01x+2.25=0

Solution for x2+3.01x+2.25=0 equation:

x2+3.01x+2.25=0

We add all the numbers together, and all the variables

x^2+3.01x+2.25=0

a = 1; b = 3.01; c = +2.25;
Δ = b2-4ac
Δ = 3.012-4·1·2.25
Δ = 0.060099999999998
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{-(3.01)-\sqrt{0.060099999999998}}{2*1}=\frac{-3.01-\sqrt{0.060099999999998}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3.01)+\sqrt{0.060099999999998}}{2*1}=\frac{-3.01+\sqrt{0.060099999999998}}{2}
$