solve for x
1/x-3+1/x-2= 8x
Answers
Answered by
7
Solution :
1/(x-3) + 1/(x-2) = 8x
Taking LCM on LHS
> (x-3) + (x-2)/(x-3)(x-2) = 8x
> 2x - 5 = 8x( x-2)(x-3)
> 2x-5 = 8x(x^2-5x+6)
> 8x^3 - 40x^2 + 48x = 2x - 5
> 8x^3 - 40x^2 + 46x - 5=0
The roots of this cubic equation will be imaginary. Hence no real solution for x.
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Answered by
0
Step-by-step explanation:
Solution :
1/(x-3) + 1/(x-2) = 8x
Taking LCM on LHS
> (x-3) + (x-2)/(x-3)(x-2) = 8x
> 2x - 5 = 8x( x-2)(x-3)
> 2x-5 = 8x(x^2-5x+6)
> 8x^3 - 40x^2 + 48x = 2x - 5
> 8x^3 - 40x^2 + 46x - 5=0
The roots of this cubic equation will be imaginary. Hence no real solution for x.
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