X^2+55x-286=0

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Solution for X^2+55x-286=0 equation:



X^2+55X-286=0
a = 1; b = 55; c = -286;
Δ = b2-4ac
Δ = 552-4·1·(-286)
Δ = 4169
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{-(55)-\sqrt{4169}}{2*1}=\frac{-55-\sqrt{4169}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(55)+\sqrt{4169}}{2*1}=\frac{-55+\sqrt{4169}}{2} $

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