Exercise 9.1

 

Solve each of the following equations lo verify your solution:

6. (x + 2) (x + 3) + (x – 3) (x – 2) – 2x(x + 1) = 0

Solution:

(x + 2) (x + 3) + (x – 3) (x – 2) – 2x(x + 1) = 0

=> x²+ 5x + 6 + x² – 5x + 6 – 2x² – 2x = 0

=> 12 – 2x = 0

=> 2x = 12

=> x = 6

Verification

L.H.S = (6 + 2) (6 + 3) + (6 – 3) (6 – 2) – 2(6)(6 + 1)

= 72 + 12 – 84

= 0

R.H.S = 0

Hence, L.H.S = R.H.S