x*100x=10000

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Solution for x*100x=10000 equation:



x*100x=10000
We move all terms to the left:
x*100x-(10000)=0
Wy multiply elements
100x^2-10000=0
a = 100; b = 0; c = -10000;
Δ = b2-4ac
Δ = 02-4·100·(-10000)
Δ = 4000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4000000}=2000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2000}{2*100}=\frac{-2000}{200} =-10 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2000}{2*100}=\frac{2000}{200} =10 $

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