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18c-2c*c=4
We move all terms to the left:
18c-2c*c-(4)=0
Wy multiply elements
-2c^2+18c-4=0
a = -2; b = 18; c = -4;
Δ = b2-4ac
Δ = 182-4·(-2)·(-4)
Δ = 292
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{292}=\sqrt{4*73}=\sqrt{4}*\sqrt{73}=2\sqrt{73}$$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-2\sqrt{73}}{2*-2}=\frac{-18-2\sqrt{73}}{-4} $$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+2\sqrt{73}}{2*-2}=\frac{-18+2\sqrt{73}}{-4} $
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