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0=-16t^2+352t+368
We move all terms to the left:
0-(-16t^2+352t+368)=0
We add all the numbers together, and all the variables
-(-16t^2+352t+368)=0
We get rid of parentheses
16t^2-352t-368=0
a = 16; b = -352; c = -368;
Δ = b2-4ac
Δ = -3522-4·16·(-368)
Δ = 147456
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}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{147456}=384$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-352)-384}{2*16}=\frac{-32}{32} =-1 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-352)+384}{2*16}=\frac{736}{32} =23 $
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