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25=25(0)-16t^2
We move all terms to the left:
25-(25(0)-16t^2)=0
We get rid of parentheses
16t^2-250+25=0
We add all the numbers together, and all the variables
16t^2-225=0
a = 16; b = 0; c = -225;
Δ = b2-4ac
Δ = 02-4·16·(-225)
Δ = 14400
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{14400}=120$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*16}=\frac{-120}{32} =-3+3/4 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*16}=\frac{120}{32} =3+3/4 $
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