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

Question

asked Sep 16, 2022 160k views

1 Answer

Brian Bird · Answer 1 · 2022-09-20T04:48:11+0000

Answer:

$x=1\pm i$

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
$1\pm i$ .