Question

please answer properly with steps

Answer 1

Answer:

x = -b/3a , 3b/2a

Step-by-step explanation:

Given,

6a^2x^2 - 7abx - 3b^2 = 0

By using splitting the middle term method, we get,

6a^2x^2 - 9abx + 2abx - 3b^2 = 0

=> 3ax(2ax - 3b) + b(2ax - 3b) = 0

=> (3ax + b)(2ax - 3b) = 0

Hence,

=> (3ax + b) = 0 or (2ax - 3b) = 0

For the values of x,

Case I :

=> 3ax + b = 0

=> 3ax = -b

=> x = -b / 3a

Case II :

=> 2ax - 3b = 0

=> 2ax = 3b

=> x = 3b / 2a

Hence,

x = -b/3a , 3b/2a

Answer 2

Step-by-step explanation:

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