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36x^2=85
We move all terms to the left:
36x^2-(85)=0
a = 36; b = 0; c = -85;
Δ = b2-4ac
Δ = 02-4·36·(-85)
Δ = 12240
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{12240}=\sqrt{144*85}=\sqrt{144}*\sqrt{85}=12\sqrt{85}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{85}}{2*36}=\frac{0-12\sqrt{85}}{72} =-\frac{12\sqrt{85}}{72} =-\frac{\sqrt{85}}{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{85}}{2*36}=\frac{0+12\sqrt{85}}{72} =\frac{12\sqrt{85}}{72} =\frac{\sqrt{85}}{6} $
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