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t=0.08-(2.84*5)/155*0.55
We move all terms to the left:
t-(0.08-(2.84*5)/155*0.55)=0
We add all the numbers together, and all the variables
t-(0.08-(14.2)/155*0.55)=0
We multiply all the terms by the denominator
t*155*0.55)-(0.08-(14.2)=0
We add all the numbers together, and all the variables
t*155*0.55)-(0.08-14.2=0
Wy multiply elements
0t^2-14.2=0
We add all the numbers together, and all the variables
t^2-14.2=0
a = 1; b = 0; c = -14.2;
Δ = b2-4ac
Δ = 02-4·1·(-14.2)
Δ = 56.8
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}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{56.8}}{2*1}=\frac{0-\sqrt{56.8}}{2} =-\frac{\sqrt{}}{2} $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{56.8}}{2*1}=\frac{0+\sqrt{56.8}}{2} =\frac{\sqrt{}}{2} $
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