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t^2=0.81
We move all terms to the left:
t^2-(0.81)=0
We add all the numbers together, and all the variables
t^2-0.81=0
a = 1; b = 0; c = -0.81;
Δ = b2-4ac
Δ = 02-4·1·(-0.81)
Δ = 3.24
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{3.24}}{2*1}=\frac{0-\sqrt{3.24}}{2} =-\frac{\sqrt{}}{2} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{3.24}}{2*1}=\frac{0+\sqrt{3.24}}{2} =\frac{\sqrt{}}{2} $
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