if the quadratic equation x^2+6kx+4=0has equal root then k is
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Step-by-step explanation:
x² + 6kx +4 = 0
a = 1 , b = 6k , c = 4
As the roots are equal,
Therefore D = 0
b² - 4ac = 0
(6k)² - 4(1)(4) = 0
36k² - 16 = 0
(4k)² - (4)² = 0
(4k + 4) (4k - 4) = 0
4k + 4 = 0 , 4k - 4 = 0
4k = -4 , 4k = 4
k = -4/4 , k = 4/4
k = -1 , k = 1
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