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11^3.8=x^2
We move all terms to the left:
11^3.8-(x^2)=0
We add all the numbers together, and all the variables
-1x^2+9063.42204273=0
a = -1; b = 0; c = +9063.42204273;
Δ = b2-4ac
Δ = 02-4·(-1)·9063.42204273
Δ = 36253.6881709
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{36253.6881709}}{2*-1}=\frac{0-\sqrt{36253.6881709}}{-2} =-\frac{\sqrt{}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{36253.6881709}}{2*-1}=\frac{0+\sqrt{36253.6881709}}{-2} =\frac{\sqrt{}}{-2} $
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