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Please help me, ive tried and cant get it right

Please help me, ive tried and cant get it right-example-1
User Mehere
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1 Answer

2 votes

Given:

an equation is given as


(1)/(x)+(1)/(x-10)=(x-9)/(x-10)

Find:

we have to solve the given equation.

Step-by-step explanation:

We will solve the equation by taking LCM as following


\begin{gathered} (1)/(x)+(1)/(x-10)=(x-9)/(x-10) \\ (x-10+x)/(x(x-10))=(x-9)/(x-10) \\ (2x-10)/(x-10)=(x(x-9))/(x-10) \\ 2x-10=x^2-9x \\ x^2-9x-2x+10=0 \\ x^2-11x+10=0 \\ x^2-10x-x+10=0 \\ x(x-10)-1(x-10)=0 \\ (x-10)(x-1)=0 \\ x=1,10 \end{gathered}

But the given equation is undefined for x = 10,

Therefore, x = 1 is the only solution of the given equation.

User Viet Tran
by
8.6k points

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