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289.99=0.04445x^2-0.0005
We move all terms to the left:
289.99-(0.04445x^2-0.0005)=0
We get rid of parentheses
-0.04445x^2+0.0005+289.99=0
We add all the numbers together, and all the variables
-0.04445x^2+289.9905=0
a = -0.04445; b = 0; c = +289.9905;
Δ = b2-4ac
Δ = 02-4·(-0.04445)·289.9905
Δ = 51.5603109
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{51.5603109}}{2*-0.04445}=\frac{0-\sqrt{51.5603109}}{-0.0889} =-\frac{\sqrt{}}{-0.0889} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{51.5603109}}{2*-0.04445}=\frac{0+\sqrt{51.5603109}}{-0.0889} =\frac{\sqrt{}}{-0.0889} $
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