Question

Solution of equation x^2-2x=-2

Answer 1

`x=1\pm i`

Explanation:

The given equation is :

`x^2-2x=-2\\\\x^2-2x+2=0`

The above equation is a quadratic equation whose solution can be given by :

`x=(-b\pm √(b^2-4ac) )/(2a)`

Here,

a = 1, b = -2 and c = 2

So,

`x=(-(-2)\pm √((-2)^2-4(1)(2)) )/(2(1))`

So,

`x=1+i,1-i\\\\x=1\pm i`

So, the solution of the equation is
`1\pm i`.