SOLUTION: "Find all real solutions to each equation or inequality. For the inequalities, also sketch the graph of the solution set. 1/x

SOLUTION: "Find all real solutions to each equation or inequality. For the inequalities, also sketch the graph of the solution set. 1/x - 1/(x-1)= -1/6 Thank you."

Question 169341: "Find all real solutions to each equation or inequality. For the
inequalities, also sketch the graph of the solution set.
1/x - 1/(x-1)= -1/6 Thank you."
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
1/x - 1/(x-1)= -1/6
.
Start by multiplying both sides with a common denominator: 6(x)(x-1)
.
6(x)(x-1)[1/x - 1/(x-1)]= 6(x)(x-1)[-1/6]
6(x-1) - 6(x) = -(x)(x-1)
6x - 6 - 6x = -x^2 + 1
- 6 = -x^2 + 1
- 6 + x^2 = 1
x^2 = 7
x = (+-)sqrt(7)

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