Find the value of K of equatipn kx(x-3)+9 so that it has two equal roots
Answers
Answered by
8
Kx(x-3)+9=0 has two equal roots.
The equation has two equal roots which means discriminant is zero.
i.e. k=0,k=4.
Reject k=0.
The value of k is 4.
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Answered by
4
Answer: The value of k is 4
Step-by-step explanation:
Given : Equation Kx(x-3)+9=0 has two equal roots.
To find : The value of k ?
Solution :
The equation is Kx^2-3kx+9=0
On comparing with quadratic equation ax^2+bx+c=0
Here, a=k, b=-3k and c=9
The equation has two equal roots which means discriminant is zero.
i.e. b^2-4ac=0
(-3k)^2-4(k)(9)=0
9k^2-36k=0
9k(k-4)=0
Either 9k=0 or k-4=0
i.e. k=0,k=4.
Reject k=0.
The value of k is 4.
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