Question

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

Answer 1

Answer:

$x=1\pm i$

Step-by-step 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 :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

Here,

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

So,

 $x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)} }{2(1)}$

So,

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

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