Determine the value of k for which the quadratic equation kx2 – 3kx + 4 = 0 has equal roots.
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Answered by
24
Step-by-step explanation:
Given, quadratic equation is kx² – 3kx + 4 = 0
here, a = k , b = -3k , c = 4
Given, quadratic equation has equal roots
=> Descriminant = 0 => b² - 4ac = 0
=> (-3k)² - 4(k)(4) = 0
=> 9k² - 16k = 0
=> k ( 9k - 16 ) = 0
=> k = 0 or 9k - 16 = 0 => 9k = 16
.•. k = 0 or k = 16/9
Answered by
4
Answer:
Step-by-step explanation:
Given, quadratic equation is kx² – 3kx + 4 = 0
here, a = k , b = -3k , c = 4
Given, quadratic equation has equal roots
=> Descriminant = 0 => b² - 4ac = 0
=> (-3k)² - 4(k)(4) = 0
=> 9k² - 16k = 0
=> k ( 9k - 16 ) = 0
=> k = 0 or 9k - 16 = 0 => 9k = 16
.•. k = 0 or k = 16/9
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