Question

Please help finding the step by step to this equation x²-2kx+5k-6=0
The answer is k=2 k=3

Answer 1

Answer:

Solution:

(k - 2)x² + 2(2k -3)x + (5k-6) are the real and Equal .

Here, a = k-2 , b = 4k - 6 , c = 5k - 6

D = b² - 4ac

= (4k- 6)² - 4×(k-2) (5k - 6)

= 16k² + 36 - 48k - 20k² + 64k - 48

= 4k² - 16k + 12

= k² - 4k + 3 = 0

= (k-3) (k-1) = 0

= k = 3,1

Answer 2

I hope it's helpful for you