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-16t^2+32t+377.3=0
a = -16; b = 32; c = +377.3;
Δ = b2-4ac
Δ = 322-4·(-16)·377.3
Δ = 25171.2
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{-(32)-\sqrt{25171.2}}{2*-16}=\frac{-32-\sqrt{25171.2}}{-32} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+\sqrt{25171.2}}{2*-16}=\frac{-32+\sqrt{25171.2}}{-32} $
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