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2x*x=85
We move all terms to the left:
2x*x-(85)=0
Wy multiply elements
2x^2-85=0
a = 2; b = 0; c = -85;
Δ = b2-4ac
Δ = 02-4·2·(-85)
Δ = 680
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{680}=\sqrt{4*170}=\sqrt{4}*\sqrt{170}=2\sqrt{170}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{170}}{2*2}=\frac{0-2\sqrt{170}}{4} =-\frac{2\sqrt{170}}{4} =-\frac{\sqrt{170}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{170}}{2*2}=\frac{0+2\sqrt{170}}{4} =\frac{2\sqrt{170}}{4} =\frac{\sqrt{170}}{2} $
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