Reciprocal equation 2

Solve this equation:

x + 5/x - 6 = 4/11

Correct result:

x1 =  5.4454
x2 =  0.9182

Solution:

x+5x−6=4/11  x2+5−6x=4/11x  x2+5−6x=4/11 x x2−6.364x+5=0  a=1;b=−6.364;c=5 D=b2−4ac=6.3642−4⋅1⋅5=20.4958677686 D>0  x1,2=−b±D2a=6.36±20.52 x1,2=3.18181818±2.26361810873 x1=5.44543629054 x2=0.918200073093   Factored form of the equation:  (x−5.44543629054)(x−0.918200073093)=0  x1=5.4454

Our quadratic equation calculator calculates it.

x2=0.9182

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