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x2/5.2=39
We move all terms to the left:
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
x^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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