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Algebra 1SuperchallengeRational Expressions

Rational Expressions · Superchallenge problem

Solve for xx: (1+1x)(1+1x+1)(1+1x+2)⋯(1+1x+9)=3\left(1+\dfrac{1}{x}\right)\left(1+\dfrac{1}{x+1}\right)\left(1+\dfrac{1}{x+2}\right)\cdots\left(1+\dfrac{1}{x+9}\right) = 3, where the product has ten factors, the last one being 1+1x+91+\dfrac{1}{x+9}.