Exemplar exercise problems XIV — task. Mathematics CBSE, Class 10.

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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

$\frac{3 \sqrt{2} - 8}{2}$

Did you find an error?

25. Exemplar exercise problems XIV