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324=u2
We move all terms to the left:
324-(u2)=0
We add all the numbers together, and all the variables
-1u^2+324=0
a = -1; b = 0; c = +324;
Δ = b2-4ac
Δ = 02-4·(-1)·324
Δ = 1296
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}$$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1296}=36$$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36}{2*-1}=\frac{-36}{-2} =+18 $$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36}{2*-1}=\frac{36}{-2} =-18 $
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