Question

find the value of k for which equation X square + 5 x + 6 is equal to zero has real and equal roots​

Answer 1

Answer: please see answer in the pic given below

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Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Equation: x² + 5kx + 16 = 0

It is given that all the roots are equal.

For roots to be equal, the value of Discriminant must be equal to zero.

=> D = b² -4ac

a = 1, b = 5k, c = 16

=> D = ( 5k )² - 4 ( 1 ) ( 16 )

=> D = 25 k² - 64

We know that D is equal to zero.

=> 25k² - 64 = 0

=> 25k² = 64

=> k² = 64 / 25

=> k = √ ( 64 / 25 )

=> k = + 8 / 5 ( or ) - 8 / 5

Hope it helps...

In the question K is missing