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17.64=y2+0.1024y^2
We move all terms to the left:
17.64-(y2+0.1024y^2)=0
We get rid of parentheses
-0.1024y^2-y2+17.64=0
We add all the numbers together, and all the variables
-1.1024y^2+17.64=0
a = -1.1024; b = 0; c = +17.64;
Δ = b2-4ac
Δ = 02-4·(-1.1024)·17.64
Δ = 77.785344
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{77.785344}}{2*-1.1024}=\frac{0-\sqrt{77.785344}}{-2.2048} =-\frac{\sqrt{}}{-2.2048} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{77.785344}}{2*-1.1024}=\frac{0+\sqrt{77.785344}}{-2.2048} =\frac{\sqrt{}}{-2.2048} $
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