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x+4/x+9=1.2
We move all terms to the left:
x+4/x+9-(1.2)=0
Domain of the equation: x!=0We add all the numbers together, and all the variables
x∈R
x+4/x+7.8=0
We multiply all the terms by the denominator
x*x+(7.8)*x+4=0
We multiply parentheses
x*x+7.8x+4=0
Wy multiply elements
x^2+7.8x+4=0
a = 1; b = 7.8; c = +4;
Δ = b2-4ac
Δ = 7.82-4·1·4
Δ = 44.84
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{-(7.8)-\sqrt{44.84}}{2*1}=\frac{-7.8-\sqrt{44.84}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7.8)+\sqrt{44.84}}{2*1}=\frac{-7.8+\sqrt{44.84}}{2} $
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