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18x^2=242
We move all terms to the left:
18x^2-(242)=0
a = 18; b = 0; c = -242;
Δ = b2-4ac
Δ = 02-4·18·(-242)
Δ = 17424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{17424}=132$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-132}{2*18}=\frac{-132}{36} =-3+2/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+132}{2*18}=\frac{132}{36} =3+2/3 $
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