Question

Which of the following is a solution of x2 + 2x + 4?

a. -2 + 2i squareroot 3
b. 2 +2i squareroot 3
c. 1 - I squareroot 3
d. -1 + I squareroot 3

Answer 1

`x^(2)+2x+4 \\ \\ \Delta=2^(2)-4*1*4=4-16=-12 \\ \\ √(\Delta)= √(-12)= √(-1)* √(12)=i2 √(3) \\ \\ x_(1)= (-2-i2 √(3) )/(2)=-1- i√(3) \\ \\ x_(2)= (-2+i2 √(3) )/(2)=-1+i √(3)`

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