Question

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

Answer 1

Answer:

-1±i

Step-by-step 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±$\sqrt{-4}$)/2

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