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The tricky substitution (Posted on 2024-04-18) Difficulty: 3 of 5
Solve the equation

16x3=(11x2+x-1)√(x2-x+1)

No Solution Yet Submitted by Danish Ahmed Khan    
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Solution FWIW, Computer Solution (spoiler) | Comment 1 of 3
>> s=solve(16*x^3==(11*x^2+x-1)*sqrt(x^2-x+1))
s =
    13^(1/2)/6 - 1/6
- 61^(1/2)/30 - 1/30
>> eval(s)
ans =
         0.434258545910665
        -0.293674989196888
        
Approximate solutions:
         0.434258545910665  (this one is double)
        -0.293674989196888
exact forms:
         (sqrt(13) - 1)/6
         -(sqrt(61) + 1)/30

  Posted by Charlie on 2024-04-18 15:47:42
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