x*(112/100)=73

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Solution for x*(112/100)=73 equation:



x(112/100)=73
We move all terms to the left:
x(112/100)-(73)=0
We add all the numbers together, and all the variables
x(+112/100)-73=0
We multiply parentheses
112x^2-73=0
a = 112; b = 0; c = -73;
Δ = b2-4ac
Δ = 02-4·112·(-73)
Δ = 32704
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:
$\sqrt{\Delta}=\sqrt{32704}=\sqrt{64*511}=\sqrt{64}*\sqrt{511}=8\sqrt{511}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{511}}{2*112}=\frac{0-8\sqrt{511}}{224} =-\frac{8\sqrt{511}}{224} =-\frac{\sqrt{511}}{28} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{511}}{2*112}=\frac{0+8\sqrt{511}}{224} =\frac{8\sqrt{511}}{224} =\frac{\sqrt{511}}{28} $

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