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12.5=x^2/1.1
We move all terms to the left:
12.5-(x^2/1.1)=0
We get rid of parentheses
-x^2/1.1+12.5=0
We multiply all the terms by the denominator
-x^2+(12.5)*1.1=0
We add all the numbers together, and all the variables
-1x^2+13.75=0
a = -1; b = 0; c = +13.75;
Δ = b2-4ac
Δ = 02-4·(-1)·13.75
Δ = 55
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{55}}{2*-1}=\frac{0-\sqrt{55}}{-2} =-\frac{\sqrt{}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{55}}{2*-1}=\frac{0+\sqrt{55}}{-2} =\frac{\sqrt{}}{-2} $
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