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2c*7c=4
We move all terms to the left:
2c*7c-(4)=0
Wy multiply elements
14c^2-4=0
a = 14; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·14·(-4)
Δ = 224
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}$$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{224}=\sqrt{16*14}=\sqrt{16}*\sqrt{14}=4\sqrt{14}$$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{14}}{2*14}=\frac{0-4\sqrt{14}}{28} =-\frac{4\sqrt{14}}{28} =-\frac{\sqrt{14}}{7} $$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{14}}{2*14}=\frac{0+4\sqrt{14}}{28} =\frac{4\sqrt{14}}{28} =\frac{\sqrt{14}}{7} $
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