(36,5/21)*x=9

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Solution for (36,5/21)*x=9 equation:



(36.5/21)*x=9
We move all terms to the left:
(36.5/21)*x-(9)=0
Domain of the equation: 21)*x!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
(+36.5/21)*x-9=0
We multiply parentheses
36x^2-9=0
a = 36; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·36·(-9)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36}{2*36}=\frac{-36}{72} =-1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36}{2*36}=\frac{36}{72} =1/2 $

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