Question

Solve x2 + 2x + 9 = 0. (2 points)

Answer 1

Solution of given equation are,

x₁ = -1 + 2i√2 and x₂ = -1 - 2i√2

Explanation:

It s given a quadratic equation,

x² + 2x + 9 =0

To solve the equation

we have,

x = [-b ± √(b² - 4ac)]/2a

Here a = 1, b =2 and c = 9

x = [-2 ± √(2² - 4* 1 * 9)]/2*1

x = [-2 ± √-32]/2

x = [-1 ± 2i√2]

x₁ = -1 + 2i√2 and x₂ = -1 - 2i√2

Answer 2

Answer:
`x_1=-1+2i√(2)}}\\\\x_2=-1-2i√(2)}`

Explanation:

Use que Quadratic formula:

`x=(-b\±√(b^2-4ac))/(2a)`

Given the quadratic equation
`x^2 + 2x + 9 = 0`, you can identify that:

`a=1\\ b=2\\ c=9`

Then, substitute values into the quadratic formula and simplify.

Remember that
`√(-1)=i`

Then:

`x=(-2\±√(2^2-4(1)(9)))/(2(1))`

`x=(-2√(-32))/(2)`

`x=(-2\±4i√(2))/(2)\\\\x=(2(-1\±2i√(2)))/(2)\\\\\\x_1=-1+2i√(2)}}\\\\x_2=-1-2i√(2)}`