- #1

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A. –8

B. –5

C. –2

D. 2

E. 8

Since the equation has positive roots then \(\displaystyle x_1>0\) and \(\displaystyle x_2>0\) thus \(\displaystyle x_1+x_2>0\) and \(\displaystyle x_1x_2>0\)

\(\displaystyle x_1+x_2>0\)

\(\displaystyle \frac{-(-4a)}{a-1}>0\)

\(\displaystyle x_1x_2>0\)

\(\displaystyle \frac{4a+7}{a-1}>0\)

However I progressed, I couldn't determine a as a single value and only found it as a set of certain whole numbers. Can you help me to find the single value of a? Once I know that. I guess I can continue on my own.