Question

CHECK PHOTO What are the solutions of x-2x + 2 = 0?

A) x=1+i or x = 1- i
B) X = 2+i or x = 2 - 1
C) x = 2i or x= -2i
D) x = -1 or x = 1

Answer 1

The solutions of the quadratic equation x-2x+2 = 0 are x = 1+i or x = 1-i.

Step-by-step explanation:

The solutions of the quadratic equation x-2x+2 = 0 can be found using the quadratic formula. The quadratic formula is given by x = (-b +- sqrt(b^2-4ac))/(2a), where a, b, and c are the coefficients of the equation ax^2+bx+c = 0. In this case, a=1, b=-2, and c=2. Plugging in these values into the quadratic formula, we get x = (2 +- sqrt((-2)^2-4(1)(2)))/(2(1)). Simplifying further, we have x = (2 +- sqrt(4-8))/2, which becomes x = (2 +- sqrt(-4))/2. Since the square root of a negative number is not defined in the real number system, the solutions of the equation are x = 1+i or x = 1-i. Therefore, the correct answer is A) x = 1+i or x = 1-i.