Question

Solve the equation 25x^2+121=0

Answer 1

Subtract 121 from both sides:

`25x^2=-121`

Divide both sides by 25:

`x^2 = -(121)/(25)`

The solutions would be

`x = \pm\sqrt{-(121)/(25)}`

This expression cannot be evaluated using real numbers, because the square root of negative numbers are not allowed. If we're using complex numbers, the solutions are

`x = \pm\sqrt{-(121)/(25)} = \pm(11i)/(5)`