Question

(x+1)(x+2)=(x+11)(x-2)
find th3 value of x:​

Answer 1

Answer:

x=22/6

Step-by-step explanation:

(x+1)(x+2)= use identity (x+a)(x+b)=x²+(a+b)x+ab

=x²+3x+2

(x+11)(x-2)

x²+9x-22

x²+3x+2=x²+9x-22

x²-x²+3x-9x=-22

-6x=-22

6x=22

x=22/6

Answer 2

To Find :-

• The value of x.

Step-by-step Explanation

⟹ (x + 1)(x + 2) = (x + 11)(x - 2)

⟹ x² + 3x + 2 = x² + 9x - 22

⟹ 3x + 2 = 9x - 22

⟹ 3x - 9x = - 22 - 2

⟹ - 6x = - 24

⟹ 6x = 24

⟹ x = 24/6

⟹ x = 12/3

⟹ x = 4

Hence, The required number is 4.

Now, Let's verify!!!

•: (x + 1)(x + 2) = (x + 11)(x - 2)

(On putting the value of x).

⟹ (x + 1)(x + 2) = (x + 11)(x - 2)

⟹ (4 + 1)(4 + 2) = (4 + 11)(4 - 2)

⟹ (5)(6) = (15)(2)

⟹ 30 = 30

LHS = RHS

Hence, Proved !