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-9.8t^2=-11
We move all terms to the left:
-9.8t^2-(-11)=0
We add all the numbers together, and all the variables
-9.8t^2+11=0
a = -9.8; b = 0; c = +11;
Δ = b2-4ac
Δ = 02-4·(-9.8)·11
Δ = 431.2
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{431.2}}{2*-9.8}=\frac{0-\sqrt{431.2}}{-19.6} =-\frac{\sqrt{}}{-19.6} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{431.2}}{2*-9.8}=\frac{0+\sqrt{431.2}}{-19.6} =\frac{\sqrt{}}{-19.6} $
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