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5x*6x=808
We move all terms to the left:
5x*6x-(808)=0
Wy multiply elements
30x^2-808=0
a = 30; b = 0; c = -808;
Δ = b2-4ac
Δ = 02-4·30·(-808)
Δ = 96960
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{96960}=\sqrt{64*1515}=\sqrt{64}*\sqrt{1515}=8\sqrt{1515}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{1515}}{2*30}=\frac{0-8\sqrt{1515}}{60} =-\frac{8\sqrt{1515}}{60} =-\frac{2\sqrt{1515}}{15} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{1515}}{2*30}=\frac{0+8\sqrt{1515}}{60} =\frac{8\sqrt{1515}}{60} =\frac{2\sqrt{1515}}{15} $
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