Question

3. Solve the following quadratic equation by factorization: 12abx^2 – (9a^2 – 8b^2)x – 6ab = 0​

Answer 1

Answer:Given equation 12abx2-(9a2-8b2)x-6ab=0

The given equation is in the form of Ax2 +Bx +C =0

 

here A = 12 ab , B = -(9a2-8b2) , C = -6ab  

 

=> D2 = B2- 4 AC

   = (9a2-8b2)2 -4(12ab)(-6ab)

   = (9a2-8b2)2 + 288a2b2

   = 81 a4 +64b4 -144a2b2 + 288a2b2

   =81 a4 +64b4 +144a2b2  

=>D2 = (9a2+8b2)2

=> D =(9a2+8b2) , - (9a2+8b2)

 

x = (-B +D) / 2A , (-B - D) / 2A

=> x =  (9a2-8b2+ 9a2+8b2 )/2(12ab) ,

(9a2-8b2 -9a2-8b2 )/2(12ab)  

=> x = 18 a2 /24ab , -16b2/24ab

=> x = 3a/4b , - 2b/3a

HOPE IT HELPS U

PLZ MARK AS BRAINLIAST ANSWER

Step-by-step explanation:

Answer 2

Step-by-step explanation:

(12abx² +8b²x)+ (-9a²x -6ab) =0

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

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

x= 3a/4b                       ;    x= -2b/3a