In the given, determine whether the given quadratic equation has real roots and if so, find the roots.
$25 x^{2} + 20 x + 7 = 0$

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Solution

The given equation $25 x^{2} + 20 x + 7 = 0$

Here, $a = 25, b = 20, c = 7$

$∴ D = b^{2} - 4 a c = 20^{2} - 4 \times 25 \times 7 = - 300 < 0$

So, the given equation does not have real roots.

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