X2+11.25x+0.973=0

Solution for X2+11.25x+0.973=0 equation:

X2+11.25X+0.973=0

We add all the numbers together, and all the variables

X^2+11.25X+0.973=0

a = 1; b = 11.25; c = +0.973;
Δ = b2-4ac
Δ = 11.252-4·1·0.973
Δ = 122.6705
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{-(11.25)-\sqrt{122.6705}}{2*1}=\frac{-11.25-\sqrt{122.6705}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11.25)+\sqrt{122.6705}}{2*1}=\frac{-11.25+\sqrt{122.6705}}{2}
$