Question

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

Answer 1

Answer:

option-D

Step-by-step explanation:

we are given

$x^2+2x+4$

Let's assume it is equal to 0

$x^2+2x+4=0$

We can use quadratic formula

Suppose, we are given quadratic equations as

$ax^2+bx+c=0$

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

we can compare and find a,b and c

a=1 , b=2 , c=4

now, we can plug values

and we get

$x=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \:4}}{2\cdot \:1}$

now, we can simplify it

and we get

$x=-1+\sqrt{3}i,\:x=-1-\sqrt{3}i$

Answer 2

Answer:

The correct option is D) −1 + i times the square root of 3.

Step-by-step explanation:

We are given the following expression and we are to find the solutions for this quadratic expression:

$x^2 + 2x + 4$

Since we cannot factorize this so we will use the quadratic formula $x = \frac{-b+-\sqrt{b^2-4ac} }{2a}$ to solve it:

$x$ $=$ $\frac{-(2) + -\sqrt{(2)^2-4(1)(4)} }{2 (1) }$

$x$ $=$ $-1 + \sqrt {3i} , -1 - \sqrt {3i}$

Therefore, from the given answer options the correct option is D) −1 + i times the square root of 3.