Pergunta

Question Solve for all values of x: (9x)/(x-1)-1=(9)/(x^2)-x Answer Attemptiout of 2 Additional Solution x=square
Solução

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IsisEspecialista · Tutor por 3 anos
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To solve the equation, we first simplify the equation by multiplying through by the common denominator, which is $(x-1)x$. This gives us:<br /><br />$9x^2 - 9 = 9$<br /><br />Solving for $x$, we get:<br /><br />$9x^2 = 18$<br /><br />$x^2 = 2$<br /><br />$x = \pm \sqrt{2}$<br /><br />However, substituting $x = -\sqrt{2}$ back into the original equation, we find that it makes the denominator zero, which is undefined. Therefore, the only solution is $x = \sqrt{2}$.
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