Find whether the following equations have real roots. If real roots exist, find them.

5x2 - 2x – 10 = 0

To check whether the quadratic equation has real roots or not, we need to check the discriminant value i.e.,


D = b2 - 4ac


Given, 5x2 - 2x – 10 = 0


D = (-2)2 - 4(5) (-10)


D = 4 + 200 > 0


Hence, the roots are real and distinct.


To find the roots, use the formula,





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