find the values of k for the quadratic equation kx(x-2)+6=0,so that it has two equal roots
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Answer:
k=6
Step-by-step explanation:
let delta be 0 [we know if Δ=0 then roots are equal ]
Δ=b²-4ac/2a
eq = kx²-2kx+6 = 0
a=k , b= -2k , c= 6
Δ = (-2k)² - 4(k)(6)/ 2k
4k² - 24k / 2k
4k(k-6)/2k
k- 6 = 0
k= 6
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