If k+3,k+2,3k-7and2k-3are in proportion find k
Answers
Answered by
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
Dude Mark me Brainy!!!
Similar questions