x^2-2.450x+1.500=0

Solution for x^2-2.450x+1.500=0 equation:

x^2-2.450x+1.500=0

We add all the numbers together, and all the variables

x^2-2.45x+1.5=0

a = 1; b = -2.45; c = +1.5;
Δ = b2-4ac
Δ = -2.452-4·1·1.5
Δ = 0.0025
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{-(-2.45)-\sqrt{0.0025}}{2*1}=\frac{2.45-\sqrt{0.0025}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.45)+\sqrt{0.0025}}{2*1}=\frac{2.45+\sqrt{0.0025}}{2}
$