Question

If k+3,k+2,3k-7and2k-3are in proportion find k​

Answer 1

Answer:

k = -1 or 5

Step-by-step explanation:

k+3,k+2,3k-7,2k-3 are in proportion

=> k + 3 : k + 2 : : 3k - 7 : 2k - 3

(k + 2)/(k + 3)  = (2k -3)/(3k - 7)

=> (k + 2)(3k -7) = (2k - 3)(k + 3)

=> 3k² -k - 14 = 2k² + 3k - 9

=> k² -4k - 5 = 0

=> k² - 5k + k - 5 = 0

=> K(k -5) + 1(k - 5) = 0

=> (k + 1)(k - 5) = 0

=> k = -1  or 5

k = -1

2 , 1  -10 , - 5

k = 5

8 , 7 , 8  , 7

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