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0=2u^2-88
We move all terms to the left:
0-(2u^2-88)=0
We add all the numbers together, and all the variables
-(2u^2-88)=0
We get rid of parentheses
-2u^2+88=0
a = -2; b = 0; c = +88;
Δ = b2-4ac
Δ = 02-4·(-2)·88
Δ = 704
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}$$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{704}=\sqrt{64*11}=\sqrt{64}*\sqrt{11}=8\sqrt{11}$$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{11}}{2*-2}=\frac{0-8\sqrt{11}}{-4} =-\frac{8\sqrt{11}}{-4} =-\frac{2\sqrt{11}}{-1} $$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{11}}{2*-2}=\frac{0+8\sqrt{11}}{-4} =\frac{8\sqrt{11}}{-4} =\frac{2\sqrt{11}}{-1} $
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