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0=70-4.9t^2
We move all terms to the left:
0-(70-4.9t^2)=0
We add all the numbers together, and all the variables
-(70-4.9t^2)=0
We get rid of parentheses
4.9t^2-70=0
a = 4.9; b = 0; c = -70;
Δ = b2-4ac
Δ = 02-4·4.9·(-70)
Δ = 1372
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}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1372}=\sqrt{196*7}=\sqrt{196}*\sqrt{7}=14\sqrt{7}$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14\sqrt{7}}{2*4.9}=\frac{0-14\sqrt{7}}{9.8} =-\frac{14\sqrt{7}}{9.8} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14\sqrt{7}}{2*4.9}=\frac{0+14\sqrt{7}}{9.8} =\frac{14\sqrt{7}}{9.8} $
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