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8.06x^2+25.876x=25.047256
We move all terms to the left:
8.06x^2+25.876x-(25.047256)=0
We add all the numbers together, and all the variables
8.06x^2+25.876x-25.047256=0
a = 8.06; b = 25.876; c = -25.047256;
Δ = b2-4ac
Δ = 25.8762-4·8.06·(-25.047256)
Δ = 1477.09090944
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{-(25.876)-\sqrt{1477.09090944}}{2*8.06}=\frac{-25.876-\sqrt{1477.09090944}}{16.12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25.876)+\sqrt{1477.09090944}}{2*8.06}=\frac{-25.876+\sqrt{1477.09090944}}{16.12} $
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