x2+115x-42000=0

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Solution for x2+115x-42000=0 equation:



x2+115x-42000=0
We add all the numbers together, and all the variables
x^2+115x-42000=0
a = 1; b = 115; c = -42000;
Δ = b2-4ac
Δ = 1152-4·1·(-42000)
Δ = 181225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{181225}=\sqrt{25*7249}=\sqrt{25}*\sqrt{7249}=5\sqrt{7249}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(115)-5\sqrt{7249}}{2*1}=\frac{-115-5\sqrt{7249}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(115)+5\sqrt{7249}}{2*1}=\frac{-115+5\sqrt{7249}}{2} $

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