Reciprocal equation 2

Solve this equation:

x + 5/x - 6 = 4/11

Correct answer:

x1 =  5.4454
x2 =  0.9182

Step-by-step explanation:

x+x5​−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​=2a−b±D​​=26.36±20.5​​ x1,2​=3.181818±2.263618 x1​=5.445436291 x2​=0.918200073  x1​=5.4454

Our quadratic equation calculator calculates it.

x2​=0.9182

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