X2-2.5x+x2=0

Solution for X2-2.5x+x2=0 equation:

X2-2.5X+X2=0

We add all the numbers together, and all the variables

2X^2-2.5X=0

a = 2; b = -2.5; c = 0;
Δ = b2-4ac
Δ = -2.52-4·2·0
Δ = 6.25
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{-(-2.5)-\sqrt{6.25}}{2*2}=\frac{2.5-\sqrt{6.25}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.5)+\sqrt{6.25}}{2*2}=\frac{2.5+\sqrt{6.25}}{4}
$