Question
If $${x^2} + 5x + 6 = 0{\text{,}}$$ then the value of $$\frac{{2x}}{{{x^2} - 7x + 6}}$$ is?
Answer: Option C
$$\eqalign{
& {\text{If }}{x^2} + 5x + 6 = 0 \cr
& {\text{then, }}{x^2} + 6 = - 5x \cr
& {\text{So,}}\frac{{2x}}{{{x^2} + 6 - 7x}} \cr
& = \frac{{2x}}{{ - 5x - 7x}} \cr
& = \frac{{2x}}{{ - 12x}} \cr
& = - \frac{1}{6}{\text{ }} \cr} $$
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$$\eqalign{
& {\text{If }}{x^2} + 5x + 6 = 0 \cr
& {\text{then, }}{x^2} + 6 = - 5x \cr
& {\text{So,}}\frac{{2x}}{{{x^2} + 6 - 7x}} \cr
& = \frac{{2x}}{{ - 5x - 7x}} \cr
& = \frac{{2x}}{{ - 12x}} \cr
& = - \frac{1}{6}{\text{ }} \cr} $$
Was this answer helpful ?
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