Math, asked by Avantika111111, 1 year ago

20k^2-31k+12=0 what is value of k how to find

Answers

Answered by sushant2505
8
Hi...☺

Here is your answer...✌

GIVEN EQUATION :

20k² - 31k + 12 = 0

By mid-term splitting
We get,

20k² - 16k - 15k + 12 = 0

4k(5k - 4) - 3(5k -4) = 0

(4k-3)(5k-4) = 0

=> 4k-3 = 0 or 5k-4 = 0

=> k = 3/4 or k = 4/5


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Answered by Anonymous
1
Question :

20k^2-31k+12=0 what is value of k how to find.

Solution :

As it is a quadratic polynomial , so let's do it by mid term spilting :

20 k²-31k+12

20k² -16 k -15 k +12

4k (5k-4) - 3(5k-4)

(4k-3)(5k-4)

Putting 4k -3 = 0

4k = 3

k = 3/4 -(1)

Putting 5k-4 = 0

5k = 4

k = 4/5 -(2)

The required values we get from eq (1) and eq (2) are = k = 4/5
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