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-0.37=-9.82t^2/2
We move all terms to the left:
-0.37-(-9.82t^2/2)=0
We get rid of parentheses
9.82t^2/2-0.37=0
We multiply all the terms by the denominator
9.82t^2-(0.37)*2=0
We add all the numbers together, and all the variables
9.82t^2-0.74=0
a = 9.82; b = 0; c = -0.74;
Δ = b2-4ac
Δ = 02-4·9.82·(-0.74)
Δ = 29.0672
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{29.0672}}{2*9.82}=\frac{0-\sqrt{29.0672}}{19.64} =-\frac{\sqrt{}}{19.64} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{29.0672}}{2*9.82}=\frac{0+\sqrt{29.0672}}{19.64} =\frac{\sqrt{}}{19.64} $
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