Question

△ABC ~ △XYZ. Find X. Thanks!

Answer 1

`\huge \: \boxed{ \boxed{21}}`

Explanation:

according to the question

`(14)/(2x + 7) = (x - 3)/(63)`

`882 = (x - 3)(2x + 7)`

`0 =882 - (x - 3)(2x + 7)`

`882 - (2 {x}^(2) + x - 21) = 0`

`882 - {2x}^(2) - x + 21 = 0`

`- {2x}^(2) - x + 903 = 0`

`2x + x - 903 = 0`

`(2x + 43)(x - 21) = 0`

`x = - (43)/(2) \\ x = 21`

`\huge \therefore x = 21`