X^2-2.452x+1.500=0

Solution for X^2-2.452x+1.500=0 equation:

X^2-2.452X+1.500=0

We add all the numbers together, and all the variables

X^2-2.452X+1.5=0

a = 1; b = -2.452; c = +1.5;
Δ = b2-4ac
Δ = -2.4522-4·1·1.5
Δ = 0.012303999999999
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{-(-2.452)-\sqrt{0.012303999999999}}{2*1}=\frac{2.452-\sqrt{0.012303999999999}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.452)+\sqrt{0.012303999999999}}{2*1}=\frac{2.452+\sqrt{0.012303999999999}}{2}
$