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110*5x*2x=180
We move all terms to the left:
110*5x*2x-(180)=0
Wy multiply elements
1100x^2*2-180=0
Wy multiply elements
2200x^2-180=0
a = 2200; b = 0; c = -180;
Δ = b2-4ac
Δ = 02-4·2200·(-180)
Δ = 1584000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1584000}=\sqrt{14400*110}=\sqrt{14400}*\sqrt{110}=120\sqrt{110}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120\sqrt{110}}{2*2200}=\frac{0-120\sqrt{110}}{4400} =-\frac{120\sqrt{110}}{4400} =-\frac{3\sqrt{110}}{110} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120\sqrt{110}}{2*2200}=\frac{0+120\sqrt{110}}{4400} =\frac{120\sqrt{110}}{4400} =\frac{3\sqrt{110}}{110} $
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