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(1/3)x=2.4
We move all terms to the left:
(1/3)x-(2.4)=0
Domain of the equation: 3)x!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
(+1/3)x-(2.4)=0
We add all the numbers together, and all the variables
(+1/3)x-2.4=0
We multiply parentheses
x^2-2.4=0
a = 1; b = 0; c = -2.4;
Δ = b2-4ac
Δ = 02-4·1·(-2.4)
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*1}=\frac{0-\sqrt{9.6}}{2} =-\frac{\sqrt{}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{9.6}}{2*1}=\frac{0+\sqrt{9.6}}{2} =\frac{\sqrt{}}{2} $
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