Question

solve for x
12abx² - (9a² -8b²) x -6ab =0

Answer 1

here solve the equations and get x=-2b/3a,x=3a/4b....

Answer 2

We have,

12abx² - (9a² -8b²) x -6ab =0

⇒ 12abx² - 9a²x + 8b²x - 6ab = 0

⇒ 3ax ( 4bx - 3a ) + 2b ( 4x - 3a ) =0

⇒ ( 4bx - 3a ) ( 3ax + 2b ) = 0

⇒ 4bx - 3a = 0 or 3ax + 2b = 0

⇒ 4bx = 3a or 3ax = -2b

⇒ x = 3a/4b or x = -2b/3a

Hence, x = 3a/4b and x = -2b/3a .

Some important identities

• (a+b)² = a² + b² +2ab

• (a-b)² = a² + b² - 2ab

• (a+b)³ = a³ + b³ + 3ab(a+b)

• (a-b)³ = a³ -b³ - 3ab(a-b)

• a² - b² = (a+b)(a-b)