0=-11x^2+1100x-9900

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Solution for 0=-11x^2+1100x-9900 equation:



0=-11x^2+1100x-9900
We move all terms to the left:
0-(-11x^2+1100x-9900)=0
We add all the numbers together, and all the variables
-(-11x^2+1100x-9900)=0
We get rid of parentheses
11x^2-1100x+9900=0
a = 11; b = -1100; c = +9900;
Δ = b2-4ac
Δ = -11002-4·11·9900
Δ = 774400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{774400}=880$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1100)-880}{2*11}=\frac{220}{22} =10 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1100)+880}{2*11}=\frac{1980}{22} =90 $

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