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10x*8x=180
We move all terms to the left:
10x*8x-(180)=0
Wy multiply elements
80x^2-180=0
a = 80; b = 0; c = -180;
Δ = b2-4ac
Δ = 02-4·80·(-180)
Δ = 57600
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{57600}=240$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240}{2*80}=\frac{-240}{160} =-1+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*80}=\frac{240}{160} =1+1/2 $
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