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0^2=u^2+2(-6.8)(0.8)
We move all terms to the left:
0^2-(u^2+2(-6.8)(0.8))=0
We add all the numbers together, and all the variables
-(u^2+2(-6.8)(0.8))=0
We multiply parentheses ..
-(u^2+2(-5.44))=0
We calculate terms in parentheses: -(u^2+2(-5.44)), so:We get rid of parentheses
u^2+2(-5.44)
We add all the numbers together, and all the variables
u^2-10.88
Back to the equation:
-(u^2-10.88)
-u^2+10.88=0
We add all the numbers together, and all the variables
-1u^2+10.88=0
a = -1; b = 0; c = +10.88;
Δ = b2-4ac
Δ = 02-4·(-1)·10.88
Δ = 43.52
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{43.52}}{2*-1}=\frac{0-\sqrt{43.52}}{-2} =-\frac{\sqrt{}}{-2} $$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{43.52}}{2*-1}=\frac{0+\sqrt{43.52}}{-2} =\frac{\sqrt{}}{-2} $
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