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0=-10+1.35s^2
We move all terms to the left:
0-(-10+1.35s^2)=0
We add all the numbers together, and all the variables
-(-10+1.35s^2)=0
We get rid of parentheses
-1.35s^2+10=0
a = -1.35; b = 0; c = +10;
Δ = b2-4ac
Δ = 02-4·(-1.35)·10
Δ = 54
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{54}=\sqrt{9*6}=\sqrt{9}*\sqrt{6}=3\sqrt{6}$$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-3\sqrt{6}}{2*-1.35}=\frac{0-3\sqrt{6}}{-2.7} =-\frac{3\sqrt{6}}{-2.7} $$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+3\sqrt{6}}{2*-1.35}=\frac{0+3\sqrt{6}}{-2.7} =\frac{3\sqrt{6}}{-2.7} $
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