PDF chapter test TRY NOW
Find whether the equation \(\frac{1}{2x -3} + \frac{1}{x - 5} = 1\), \(x \neq \frac{3}{2}\), \(5\) has real roots. If real roots exist, find them.
Answer:
\(\frac{1}{2x -3} + \frac{1}{x - 5} = 1\) has .
The roots are and .
Answer variants:
\(\frac{8 + 3 \sqrt{2}}{2}\)
\(\frac{8 - 3 \sqrt{2}}{2}\)
no real roots
two distinct real roots
\(\frac{2 + 3 \sqrt{2}}{2}\)
two equal real roots
\(\frac{3 \sqrt{2} - 8}{2}\)
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