Question

x² + 6x+ k=o , the roots are equal then value of k
A. 9.
B. -9.
C. 8.
D. 5.​

Answer 1

Step-by-step explanation:

option a is correct (9)

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Answer 2

9

Step-by-step explanation:

We know that when the roots are equal the discriminant is equal to zero

$discriminant, D = {b}^{2} - 4ac = 0$

$\implies \: {6}^{2} - 4 \times 1 \times k = 0$

$\implies36 -4k = 0$

$\implies - 4k = - 36$

$\implies \: k = \frac{ - 36}{ - 4}$

$\implies \color{blue} \boxed{ \color{green} \boxed{ \color{red} \boxed{\: k = 9}}}$

Hence the value of k is 9 and option a is correct one.