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5600=x+4/5x
We move all terms to the left:
5600-(x+4/5x)=0
Domain of the equation: 5x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
-(+x+4/5x)+5600=0
We get rid of parentheses
-x-4/5x+5600=0
We multiply all the terms by the denominator
-x*5x+5600*5x-4=0
Wy multiply elements
-5x^2+28000x-4=0
a = -5; b = 28000; c = -4;
Δ = b2-4ac
Δ = 280002-4·(-5)·(-4)
Δ = 783999920
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{783999920}=\sqrt{16*48999995}=\sqrt{16}*\sqrt{48999995}=4\sqrt{48999995}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28000)-4\sqrt{48999995}}{2*-5}=\frac{-28000-4\sqrt{48999995}}{-10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28000)+4\sqrt{48999995}}{2*-5}=\frac{-28000+4\sqrt{48999995}}{-10} $
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