1.

Determine the nature of the roots of the quadratic equation:\((\frac{3}{5})x^2 – (\frac{2}{3}) + 1 = 0\)

Answer»

Here, a = \(\frac{3}{5}\) \(\), b = \(\frac{-2}{3},\) c = 1

D = (\(\frac{-2}{3}\))2 -4(\(\frac{3}{5}\))(1)

= \(\frac{4}{9} – \frac{12}{5}\)

= \(\frac{-88}{45}\) < 0

It’s seen that D < 0 and hence, the given equation does not have any real roots.



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