X^2+160000x-324000000=0

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Solution for X^2+160000x-324000000=0 equation:



X^2+160000X-324000000=0
a = 1; b = 160000; c = -324000000;
Δ = b2-4ac
Δ = 1600002-4·1·(-324000000)
Δ = 26896000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{26896000000}=164000$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(160000)-164000}{2*1}=\frac{-324000}{2} =-162000 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(160000)+164000}{2*1}=\frac{4000}{2} =2000 $

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