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2x*56*45x=2789875
We move all terms to the left:
2x*56*45x-(2789875)=0
Wy multiply elements
5040x^2*4-2789875=0
Wy multiply elements
20160x^2-2789875=0
a = 20160; b = 0; c = -2789875;
Δ = b2-4ac
Δ = 02-4·20160·(-2789875)
Δ = 224975520000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{224975520000}=\sqrt{1440000*156233}=\sqrt{1440000}*\sqrt{156233}=1200\sqrt{156233}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1200\sqrt{156233}}{2*20160}=\frac{0-1200\sqrt{156233}}{40320} =-\frac{1200\sqrt{156233}}{40320} =-\frac{5\sqrt{156233}}{168} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1200\sqrt{156233}}{2*20160}=\frac{0+1200\sqrt{156233}}{40320} =\frac{1200\sqrt{156233}}{40320} =\frac{5\sqrt{156233}}{168} $
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