What will be the value of K so that the quadratic equation Kx2-2Kx+6=0 has two equal roots ?
Answers
Answered by
13
Answer:
Value of k = 0 Or k=6
Step-by-step explanation:
Given Quadratic equation:
kx²-2kx+6=0 has equal roots.
Compare above equation with
ax²+bx+c=0 we get
a = k , b = -2k , c = 6
Now ,
Discreminant (D)=0
given roots are equal ; therefore
b²-4ac=0
=> (-2k)²-4×(k)×6 = 0
=> 4k²-24k=0
=> 4k(k-6)=0
=> 4k=0 Or k-6=0
=> k=0 Or k=6
Therefore,.
Value of k = 0 Or k=6
i hope it will help u
Answered by
3
Answer:
Applying Discriminant=b^2- 4ac
4k^2 - 24k=0
Solving we get k=0,6 as the equation is quadratic k=6 is the correct answer( k cannot be equal to zero because for k=0 it will give 0=6 which is incorrect)
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