y^2-2,5y+1=0

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Solution for y^2-2,5y+1=0 equation:



y^2-2.5y+1=0
a = 1; b = -2.5; c = +1;
Δ = b2-4ac
Δ = -2.52-4·1·1
Δ = 2.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2.5)-\sqrt{2.25}}{2*1}=\frac{2.5-\sqrt{2.25}}{2} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.5)+\sqrt{2.25}}{2*1}=\frac{2.5+\sqrt{2.25}}{2} $

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