Q. 1 C4.5( 8 Votes )

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

5x^{2} - 2x – 10 = 0

Answer :

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

D = b^{2} - 4ac

Given, 5x^{2} - 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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