Y=x2-6x+5

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Solution for Y=x2-6x+5 equation:



=Y2-6Y+5
We move all terms to the left:
-(Y2-6Y+5)=0
We add all the numbers together, and all the variables
-(+Y^2-6Y+5)=0
We get rid of parentheses
-Y^2+6Y-5=0
We add all the numbers together, and all the variables
-1Y^2+6Y-5=0
a = -1; b = 6; c = -5;
Δ = b2-4ac
Δ = 62-4·(-1)·(-5)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-4}{2*-1}=\frac{-10}{-2} =+5 $
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+4}{2*-1}=\frac{-2}{-2} =1 $

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