Math, asked by harshitasingh1226, 6 months ago

The value of k for which equation

which equation 9x²+ 4 kx+4=0 has equal roots is​

Answers

Answered by muskanperween225
1

Answer:

The value of k is 3

Step-by-step explanation:

Comparing the quadratic equation 9x^2+4kx+4=0 with the quadratic equation ax^2+bx+c=0.

we get, a=9,b=4k and c=4

Since the roots are real and equal,

The discriminant =0

b^2-4ac=0

=> (4k) ^2-4*9*4=0

=> 16k^2-144=0

=>.16k^2=144

=> k^2=144/16

=>k^2=9

=>k=√9

=>k=3

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