x2+5x+6=0,x2+5x+6=0,{x^2} + 5x + 6 = 0{\text{,}} then the value of 2xx2−7x+6" role="presentation">2xx2−7x+62xx2−7x+6\frac{{2x}}{{{x^2} - 7x + 6}} is?" /> x2+5x+6=0,x2+5x+6=0,{x^2} + 5x + 6 = 0{\text{,}} then the value of 2xx2−7x+6" role="presentation">2xx2−7x+62xx2−7x+6\frac{{2x}}{{{x^2} - 7x + 6}} is?" /> x2+5x+6=0,x2+5x+6=0,{x^2} + 5x + 6 = 0{\text{,}} then the value of 2xx2−7x+6" role="presentation">2xx2−7x+62xx2−7x+6\frac{{2x}}{{{x^2} - 7x + 6}} is?" />

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If $x^{2} + 5 x + 6 = 0,$ ${x^2} + 5x + 6 = 0{\text{,}}$ then the value of $\frac{2 x}{x^{2} - 7 x + 6}$ $\frac{{2x}}{{{x^2} - 7x + 6}}$ is?

1 $\frac{1}{6}$ $\frac{1}{6}$
2 $\frac{1}{3}$ $\frac{1}{3}$
3 $- \frac{1}{6}$ $- \frac{1}{6}$
4 $- \frac{1}{3}$ $- \frac{1}{3}$

Answer:- 1

Explanation:-

Solution:

\begin{aligned} If x^{2} + 5 x + 6 = 0 \\ then, x^{2} + 6 = - 5 x \\ So, \frac{2 x}{x^{2} + 6 - 7 x} \\ = \frac{2 x}{- 5 x - 7 x} \\ = \frac{2 x}{- 12 x} \\ = - \frac{1}{6} \end{aligned}

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then the value of

\frac{2 x}{x^{2} - 7 x + 6}

$\frac{{2x}}{{{x^2} - 7x + 6}}$ is?", "text": "If

x^{2} + 5 x + 6 = 0,

${x^2} + 5x + 6 = 0{\text{,}}$ then the value of

\frac{2 x}{x^{2} - 7 x + 6}

$\frac{{2x}}{{{x^2} - 7x + 6}}$ is?", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} If x^{2} + 5 x + 6 = 0 \\ then, x^{2} + 6 = - 5 x \\ So, \frac{2 x}{x^{2} + 6 - 7 x} \\ = \frac{2 x}{- 5 x - 7 x} \\ = \frac{2 x}{- 12 x} \\ = - \frac{1}{6} \end{aligned}

$\eqalign{ & {\text{If }}{x^2} + 5x + 6 = 0 \cr & {\text{then, }}{x^2} + 6 = - 5x \cr & {\text{So,}}\frac{{2x}}{{{x^2} + 6 - 7x}} \cr & = \frac{{2x}}{{ - 5x - 7x}} \cr & = \frac{{2x}}{{ - 12x}} \cr & = - \frac{1}{6}{\text{ }} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution: