Question

Find all the roots of equation x2 +1 =0.

Answer 1

hey mate here is your answer ✌♥✌♥

x²+1=0❣

x²=-1❣

so X=+-√-1❣

so X=√-1 or X=-√-1❣

so X=i or X=-i❣

hence the given equation has complex and imaginary roots❤❤

hope it will be helpful to you ✔✔✔

mark me brainliest ✌✌

Answer 2

Answer:

The roots of the equation are +i and -i

Step-by-step explanation:

• Finding roots means solving the equation and after solving write down the value of x.
• The given equation is: x² + 1 = 0

                                             x² = -1 .............(1)

       [as 1 is positive in the left hand side, so if it goes to right hand its sign will change. 1 will become -1]

      We know that, the symbol of imaginary number = i = √(-1)

                                                                                         i² = -1.................(2)

•    From equation (1) and (2), x² =  i²

                                            x² - i² = 0

                                           (x + i)(x - i) = 0

                         When  (x + i) = 0 then x = -i

                         When (x - i) = 0 then x = i

      ∴ The roots of the equation are +i and -i