X*2x=5000

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Solution for X*2x=5000 equation:



X*2X=5000
We move all terms to the left:
X*2X-(5000)=0
Wy multiply elements
2X^2-5000=0
a = 2; b = 0; c = -5000;
Δ = b2-4ac
Δ = 02-4·2·(-5000)
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200}{2*2}=\frac{-200}{4} =-50 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200}{2*2}=\frac{200}{4} =50 $

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