Math, asked by Khushi54811, 1 year ago

The roots of the following quadratic equation are real and equal then find the value of K.

(1) kx(x-2)+6=0

Answers

Answered by RishabhBansal
16
Hey!!!!

__________

We have

=> kx² - 2kx + 6 = 0 with real and equal roots

Thus. D = 0

=> b² - 4ac = 0

Substituting values

=> (-2k)² - 4(k)(6) = 0

=> 4k² - 24k = 0

=> 4k(k - 6) = 0

Thus => k = 0 or k - 6 = 0

=> k = 6

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Hope this helps ✌️

Good Morning

Khushi54811: A very very good and beautiful morning and very much thank you for answer
RishabhBansal: welcome
Answered by rohitkumargupta
15
HELLO DEAR,



GIVEN THAT:-

kx² - 2kx + 6 = 0 with real and equal roots

Where

a = k

b = -(2k)

c = 6

∴ D = 0

=> b² - 4ac = 0

NOW, put the values

⇒ (-2k)² - 4(k)(6) = 0

⇒ 4k² - 24k = 0

⇒ 4k(k - 6) = 0

⇒ k = 0 or k = 6



I HOPE ITS HELP YOU DEAR,
THANKS


Khushi54811: thank you so so much for the help
rohitkumargupta: :-)
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