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63585.5=(0.785)(x2)
We move all terms to the left:
63585.5-((0.785)(x2))=0
We calculate terms in parentheses: -((0.785)x2), so:We get rid of parentheses
(0.785)x2
We multiply parentheses
0.785x^2
Back to the equation:
-(0.785x^2)
-0.785x^2+63585.5=0
a = -0.785; b = 0; c = +63585.5;
Δ = b2-4ac
Δ = 02-4·(-0.785)·63585.5
Δ = 199658.47
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{199658.47}}{2*-0.785}=\frac{0-\sqrt{199658.47}}{-1.57} =-\frac{\sqrt{}}{-1.57} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{199658.47}}{2*-0.785}=\frac{0+\sqrt{199658.47}}{-1.57} =\frac{\sqrt{}}{-1.57} $
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