The value of k for which equation
which equation 9x²+ 4 kx+4=0 has equal roots is
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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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