x2-20x+91=0

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Solution for x2-20x+91=0 equation:



x2-20x+91=0
We add all the numbers together, and all the variables
x^2-20x+91=0
a = 1; b = -20; c = +91;
Δ = b2-4ac
Δ = -202-4·1·91
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-6}{2*1}=\frac{14}{2} =7 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+6}{2*1}=\frac{26}{2} =13 $

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