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x+x+9/7x=110.4
We move all terms to the left:
x+x+9/7x-(110.4)=0
Domain of the equation: 7x!=0We add all the numbers together, and all the variables
x!=0/7
x!=0
x∈R
2x+9/7x-110.4=0
We multiply all the terms by the denominator
2x*7x-(110.4)*7x+9=0
We multiply parentheses
2x*7x-772.8x+9=0
Wy multiply elements
14x^2-772.8x+9=0
a = 14; b = -772.8; c = +9;
Δ = b2-4ac
Δ = -772.82-4·14·9
Δ = 596715.84
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-772.8)-\sqrt{596715.84}}{2*14}=\frac{772.8-\sqrt{596715.84}}{28} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-772.8)+\sqrt{596715.84}}{2*14}=\frac{772.8+\sqrt{596715.84}}{28} $
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