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x*6x=112
We move all terms to the left:
x*6x-(112)=0
Wy multiply elements
6x^2-112=0
a = 6; b = 0; c = -112;
Δ = b2-4ac
Δ = 02-4·6·(-112)
Δ = 2688
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{2688}=\sqrt{64*42}=\sqrt{64}*\sqrt{42}=8\sqrt{42}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{42}}{2*6}=\frac{0-8\sqrt{42}}{12} =-\frac{8\sqrt{42}}{12} =-\frac{2\sqrt{42}}{3} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{42}}{2*6}=\frac{0+8\sqrt{42}}{12} =\frac{8\sqrt{42}}{12} =\frac{2\sqrt{42}}{3} $
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