1.

Determine the nature of roots of the following quadratic equations from their discriminant. m + 2m + 9 =0​

Answer»

<U>C O R R E C T Q U E S T I O N :

Determine the nature of roots of the following quadratic equations from their discriminant. m² + 2m + 9 = 0

S O L U T I O N :

Given,

To Find,

  • The nature of roots.

Explanation,

Given, quadratic polynomial, m² + 2m + 9 = 0.

On comparing with, ax² + bx + c = 0 , We get,

=> a = 1 , b = 2 , c = 9

We know,

Discriminate = b² - 4ac

[ Put the values ]

=> (2)² - 4 × 1 × 9

=> 4 - 36

=> -32

.°. D < 0

Therefore,

The roots are not real and unequal.


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