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0=-16t^2+70
We move all terms to the left:
0-(-16t^2+70)=0
We add all the numbers together, and all the variables
-(-16t^2+70)=0
We get rid of parentheses
16t^2-70=0
a = 16; b = 0; c = -70;
Δ = b2-4ac
Δ = 02-4·16·(-70)
Δ = 4480
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}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{4480}=\sqrt{64*70}=\sqrt{64}*\sqrt{70}=8\sqrt{70}$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{70}}{2*16}=\frac{0-8\sqrt{70}}{32} =-\frac{8\sqrt{70}}{32} =-\frac{\sqrt{70}}{4} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{70}}{2*16}=\frac{0+8\sqrt{70}}{32} =\frac{8\sqrt{70}}{32} =\frac{\sqrt{70}}{4} $
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