What is the value of K, if the roots of 2x² - 6x + k = 0 are real and equal ? *
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Answer:
the value of x is not given by you than we cant find the value of k
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2x² - 6x + k = 0 comparing with ax²+ bx + c=0
we get,
a = 2 , b = -6 , c = k
Therefore,
b² - 4ac = (-6)² - 4 × 2 × k
= 36 - 8k
The roots are real and equal.
Discriminant ( ∆ ) = 0
36 - 8k = 0
- 8k = -36
k = -36/(-8)
= 9/2
Ans. the value of k is 9/2 if the roots of 2x² - 6x + k = 0 are real and equal.
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