Question

Find the value of X .......solve it fast plzz

Answer 1

Answer:

x = 4

Step-by-step explanation:

$\frac{(x+2)!}{(2x-1)!} . \frac{(2x+1)!}{(x+3)!} = \frac{72}{7}$

(2x+1)! = (2x+1)(2x)(2x-1)!

(x+3)! = (x+3)(x+2)!

using these

(2x+1)(2x) /(x+3)  = 72/7

=> (4x² + 2x)7 = 72(x+3)

=> 28x² + 14x = 72x + 216

=> 28x² - 58x - 216 = 0

=> 14x² - 29x - 108 = 0

=> 14x² -56x + 27x - 108 = 0

=>14x(x-4) + 27(x-4) = 0

=> (14x + 27)(x-4) = 0

=> x = 4  , x = -27/14 ( can not be negative)

x = 4