X2-31x+10=0

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Solution for X2-31x+10=0 equation:



X2-31X+10=0
We add all the numbers together, and all the variables
X^2-31X+10=0
a = 1; b = -31; c = +10;
Δ = b2-4ac
Δ = -312-4·1·10
Δ = 921
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{-(-31)-\sqrt{921}}{2*1}=\frac{31-\sqrt{921}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+\sqrt{921}}{2*1}=\frac{31+\sqrt{921}}{2} $

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