x^2-17x-174=0

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Solution for x^2-17x-174=0 equation: 



x^2-17x-174=0

a = 1; b = -17; c = -174;
Δ = b2-4ac
Δ = -172-4·1·(-174)
Δ = 985
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{-(-17)-\sqrt{985}}{2*1}=\frac{17-\sqrt{985}}{2}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+\sqrt{985}}{2*1}=\frac{17+\sqrt{985}}{2}
$

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