K+1)x^2-4kx+9=0 have real and equal roots?Find k
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(k+1)x^2 - 4kx + 9 = 0
A = k +1
B = -4k
C = 9
D = 0, For Real and Equal Roots
B^2 - 4AC = 0
(-4k)^2 - 4(k + 1) (9) = 0
16k^2 - 4(9k + 9) = 0
16k^2 - 36k - 36 = 0
4(4k^2 - 9k - 9) = 0
4k^2 - 9k - 9 = 0
4k^2 - 12k + 3k - 9 = 0
4k(k - 3) + 3(k - 3) = 0
(4k+3)(k-3) = 0
k = -3/4 and k = 3
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