X^2+13x-34=0

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Solution for X^2+13x-34=0 equation:



X^2+13X-34=0
a = 1; b = 13; c = -34;
Δ = b2-4ac
Δ = 132-4·1·(-34)
Δ = 305
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{-(13)-\sqrt{305}}{2*1}=\frac{-13-\sqrt{305}}{2} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+\sqrt{305}}{2*1}=\frac{-13+\sqrt{305}}{2} $

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