Question

What are the solutions to the equation x2 + 4x + 5 = 0?

Answer 1

\[x^2 + 4x + 5 = 0\]

Answer 2

do you mind complex solutions?

Answer 3

Quadratic equation

Answer 4

Use \[b^2 - 4ac\]

Answer 5

\[\huge x = \frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }\]

Answer 6

@ShadowLegendX nay, 4 is even, complete the square is quicker

Answer 7

"nah' not ":nay"

Answer 8

or complete the square haha

Answer 9

Well, sometimes formulas are easier for them to remember, especially for tests *shrugs*

Answer 10

saves you from writing the radical in simplest radical form and then dividing properly is all, less like to make an arithmetic mistake

Answer 11

@arielle908 the formula is given to you above
try it, if it works great, if not we can walk through competing the square

Answer 12

\[4^2 - 4(1)(5)\]

Following the formula

\[b^2 - 4ac\]

With

a = 1
b = 4
c = 5

16 - 20 = - 4

From there we just classify where it falls into

Answer 13

:)

Answer 14

\[x^2+4x+5=0\] subtract 5 from both sides, what do you get?

Answer 15

The answer is not 0 so we know there are two solutions. Also, the answer is negative so we know itʻs complex. Also, -4 is not a perfect square root so we know it is irrational.

So we know there are two complex solutions that are irrational in nature. As for the specific solutions, @satellite73 has that part covered :)

Answer 16

"irrational in nature"??

Answer 17

two complex conjugates