7x+3/7x=9000

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Solution for 7x+3/7x=9000 equation: 



7x+3/7x=9000

We move all terms to the left:

7x+3/7x-(9000)=0



Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R



We multiply all the terms by the denominator


7x*7x-9000*7x+3=0

Wy multiply elements

49x^2-63000x+3=0

a = 49; b = -63000; c = +3;
Δ = b2-4ac
Δ = -630002-4·49·3
Δ = 3968999412
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:


$\sqrt{\Delta}=\sqrt{3968999412}=\sqrt{196*20249997}=\sqrt{196}*\sqrt{20249997}=14\sqrt{20249997}$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-63000)-14\sqrt{20249997}}{2*49}=\frac{63000-14\sqrt{20249997}}{98}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-63000)+14\sqrt{20249997}}{2*49}=\frac{63000+14\sqrt{20249997}}{98}
$

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