THE VALUE OF K FOR WHICH THE QUADRATIC EQUATION 2 x 2 - 2kx +5k =0
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Answer:
k = 5
Step-by-step explanation:
x² - 2kx + 5k = 0
Given that it has equal roots
⇒ b² - 4ac = 0
Solve k:
b² - 4ac = =0
(-2k)² - 4(1)(5k) = 0
4k² - 20k = 0
k² - 5k = 0
k(k - 5) = 0
k = 0 or k - 5 = 0
k = 0 or k = 5
Since k = 0 will make the equation not a quadratic equation
⇒ k is rejected
Therefore k = 5
Answer: k = 5
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