Question

The roots of the equation X square + 2 X + 4 = 2 are necessarily what​

Answer 1

-1±i

Explanation:

Im assuming the question is asking what the roots of x^2+2x+4=2 are.

1. x^2+2x+4= 2 - subtract 2 on both sides to set the quadratic equation equal to zero.

2. x^2+2x+2 - now, since this equation cannot be factored the quadratic formula must be used: -b±
`\frac{\sqrt{b^(2)-4ac}}{2a}` (standard form: ax^2+bx+c)

3. -2±
`\sqrt{2^(2)-4(1)(2) }`/2(1)= (-2±
`√(-4)`)/2

4. using complex numbers this can be rewritten as -1±i.