x^2+26*x-731=0

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Solution for x^2+26*x-731=0 equation:



x^2+26x-731=0
a = 1; b = 26; c = -731;
Δ = b2-4ac
Δ = 262-4·1·(-731)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-60}{2*1}=\frac{-86}{2} =-43 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+60}{2*1}=\frac{34}{2} =17 $

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