x*(2/100)=1

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Solution for x*(2/100)=1 equation:



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

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