What is the answer to -5/6+x/6=1/x

asked Sep 21, 2016 20.8k views

4 votes

What is the answer to
-5/6+x/6=1/x

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$-(5)/(6)+(x)/(6)=(1)/(x)|\cdot6x\qquad(x \\ot=0)\\ -5x+x^2=6\\ x^2-5x-6=0\\ x^2+x-6x-6=0\\ x(x+1)-6(x+1)=0\\ (x-6)(x+1)=0\\ x=6 \vee x=-1$

Tvshajeer answered Sep 22, 2016

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1 vote

$-5/6+x/6=1/x\Leftrightarrow x^2-5x-6=0$

$\Delta=25+24=7^2$ hence the answer is
$(5\pm7)/(2)=\left\lbrace-1,6\right\rbrace$

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