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X*X*6=94
We move all terms to the left:
X*X*6-(94)=0
Wy multiply elements
6X^2*6-94=0
Wy multiply elements
36X^2-94=0
a = 36; b = 0; c = -94;
Δ = b2-4ac
Δ = 02-4·36·(-94)
Δ = 13536
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{13536}=\sqrt{144*94}=\sqrt{144}*\sqrt{94}=12\sqrt{94}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{94}}{2*36}=\frac{0-12\sqrt{94}}{72} =-\frac{12\sqrt{94}}{72} =-\frac{\sqrt{94}}{6} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{94}}{2*36}=\frac{0+12\sqrt{94}}{72} =\frac{12\sqrt{94}}{72} =\frac{\sqrt{94}}{6} $
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