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1*3x*5x=72
We move all terms to the left:
1*3x*5x-(72)=0
Wy multiply elements
15x^2*5-72=0
Wy multiply elements
75x^2-72=0
a = 75; b = 0; c = -72;
Δ = b2-4ac
Δ = 02-4·75·(-72)
Δ = 21600
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{21600}=\sqrt{3600*6}=\sqrt{3600}*\sqrt{6}=60\sqrt{6}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{6}}{2*75}=\frac{0-60\sqrt{6}}{150} =-\frac{60\sqrt{6}}{150} =-\frac{2\sqrt{6}}{5} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{6}}{2*75}=\frac{0+60\sqrt{6}}{150} =\frac{60\sqrt{6}}{150} =\frac{2\sqrt{6}}{5} $
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