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Q.

Find the value of k, so that the quadratic equation x2 – kx + 9 = 0 has equal roots.


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a

0

b

4

c

6, -6

d

3, -3 

answer is C.

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Detailed Solution

It is given that the quadratic equation x2 – kx + 9 = 0 has equal roots.
The standard form of the quadratic equation is given by ax2 + bx + c = 0.
On comparing, a = 1, b = -k and c = 9.
If the equation has real roots then b2 – 4ac = 0.
⇒ (−k) 2 −4(1)(9)=0 ⇒ k 2 −36=0 ⇒ k 2 =36 ⇒k=6,−6  
Hence, the values of k are 6 and -6.
Therefore, the correct answer is option (3).
 
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