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39=x2/5.2
We move all terms to the left:
39-(x2/5.2)=0
We add all the numbers together, and all the variables
-(+x2/5.2)+39=0
We get rid of parentheses
-x2/5.2+39=0
We multiply all the terms by the denominator
-x2+39*5.2=0
We add all the numbers together, and all the variables
-1x^2+202.8=0
a = -1; b = 0; c = +202.8;
Δ = b2-4ac
Δ = 02-4·(-1)·202.8
Δ = 811.2
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{811.2}}{2*-1}=\frac{0-\sqrt{811.2}}{-2} =-\frac{\sqrt{}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{811.2}}{2*-1}=\frac{0+\sqrt{811.2}}{-2} =\frac{\sqrt{}}{-2} $
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