X^2-73x-37=0

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Solution for X^2-73x-37=0 equation:



X^2-73X-37=0
a = 1; b = -73; c = -37;
Δ = b2-4ac
Δ = -732-4·1·(-37)
Δ = 5477
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{-(-73)-\sqrt{5477}}{2*1}=\frac{73-\sqrt{5477}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73)+\sqrt{5477}}{2*1}=\frac{73+\sqrt{5477}}{2} $

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