Dk why its so complex ~ \sf {x}^(2) + 25 = 0 Find the complex roots ​

Question

Dk why its so complex ~


`\sf {x}^(2) + 25 = 0`
Find the complex roots ​

Answer 1

To find:-

• The roots of the equation,
  `x^2 + 25 = 0`

Answer:-

We are here given that,

`\implies x^2 + 25 = 0`

Subtract 25 from both sides,

`\implies x^2 = 0 - 25`

`\implies x^2 = -25`

Take square root on both sides ,

`\implies x =√(-25)`

`\implies x =√( 5^2 (-1) )`

`\implies x =√(5^2) √(-1)`

`\implies x = \pm 5√(-1)`

`\implies x = \pm 5i`

Seperate the two roots ,

`\implies \underline{\underline{ x = +5i \ , \ -5i }}`

Hence the roots of the given equation are 5i and -5i .

and we are done!