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1.200t^2=10=
We move all terms to the left:
1.200t^2-(10)=0
a = 1.200; b = 0; c = -10;
Δ = b2-4ac
Δ = 02-4·1.200·(-10)
Δ = 48
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}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{48}=\sqrt{16*3}=\sqrt{16}*\sqrt{3}=4\sqrt{3}$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{3}}{2*1.200}=\frac{0-4\sqrt{3}}{2.4} =-\frac{4\sqrt{3}}{2.4} =-\frac{2\sqrt{3}}{1.2} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{3}}{2*1.200}=\frac{0+4\sqrt{3}}{2.4} =\frac{4\sqrt{3}}{2.4} =\frac{2\sqrt{3}}{1.2} $
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