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5/11x+23x-16x=-189

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Solution for 5/11x+23x-16x=-189 equation:



5/11x+23x-16x=-189
We move all terms to the left:
5/11x+23x-16x-(-189)=0
Domain of the equation: 11x!=0
x!=0/11
x!=0
x∈R
We add all the numbers together, and all the variables
7x+5/11x+189=0
We multiply all the terms by the denominator
7x*11x+189*11x+5=0
Wy multiply elements
77x^2+2079x+5=0
a = 77; b = 2079; c = +5;
Δ = b2-4ac
Δ = 20792-4·77·5
Δ = 4320701
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{-(2079)-\sqrt{4320701}}{2*77}=\frac{-2079-\sqrt{4320701}}{154}
x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2079)+\sqrt{4320701}}{2*77}=\frac{-2079+\sqrt{4320701}}{154}

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