Question #b623e

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Answer 1 · 2018-01-10T16:28:20

#k=5#

#kx*(5x-6)+9=0#

#5kx^2-6kx+9=0#

If this quadratic equation has equal roots, discriminant of it must be #0#.

Hence,

#(-6k)^2-4*5k*9=0#

#36k^2-180k=0#

#36k*(k-5)=0#

#k=5#

Answer 2 · 2018-01-10T16:36:59

#k=5#

Quicker to handwrite my solution, I hope it is legible.

ME (Harold Walden)

I hope this helps :)