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(19/100)*x=0.9
We move all terms to the left:
(19/100)*x-(0.9)=0
Domain of the equation: 100)*x!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
(+19/100)*x-(0.9)=0
We add all the numbers together, and all the variables
(+19/100)*x-0.9=0
We multiply parentheses
19x^2-0.9=0
a = 19; b = 0; c = -0.9;
Δ = b2-4ac
Δ = 02-4·19·(-0.9)
Δ = 68.4
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{68.4}}{2*19}=\frac{0-\sqrt{68.4}}{38} =-\frac{\sqrt{}}{38} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{68.4}}{2*19}=\frac{0+\sqrt{68.4}}{38} =\frac{\sqrt{}}{38} $
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