(2/3)x=1.2

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Solution for (2/3)x=1.2 equation:



(2/3)x=1.2
We move all terms to the left:
(2/3)x-(1.2)=0
Domain of the equation: 3)x!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
(+2/3)x-(1.2)=0
We add all the numbers together, and all the variables
(+2/3)x-1.2=0
We multiply parentheses
2x^2-1.2=0
a = 2; b = 0; c = -1.2;
Δ = b2-4ac
Δ = 02-4·2·(-1.2)
Δ = 9.6
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{9.6}}{2*2}=\frac{0-\sqrt{9.6}}{4} =-\frac{\sqrt{}}{4} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{9.6}}{2*2}=\frac{0+\sqrt{9.6}}{4} =\frac{\sqrt{}}{4} $

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