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25.6=x2
We move all terms to the left:
25.6-(x2)=0
We add all the numbers together, and all the variables
-1x^2+25.6=0
a = -1; b = 0; c = +25.6;
Δ = b2-4ac
Δ = 02-4·(-1)·25.6
Δ = 102.4
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{102.4}}{2*-1}=\frac{0-\sqrt{102.4}}{-2} =-\frac{\sqrt{}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{102.4}}{2*-1}=\frac{0+\sqrt{102.4}}{-2} =\frac{\sqrt{}}{-2} $
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