Question

Solve `9/2 x = 5 + x^2`

Answer 1

`9/2 x = 5 + x^2`

`=> 9x = 10 + 2x^2`

`=> 2x^2 - 9x  + 10 = 0`

`=> x(2x - 5) - 2(2x - 5) = 0`

=> (2x - 5)(x - 2) = 0

Since 2x - 5 = 0 or x - 2 = 0

then `x = 5/2 or x  = 2`