To find the two roots of the polynomial x^2 + 4x + 8 = 0, you have to use the quadratic formula since this polynomial is NOT factorable…

The quadratic formula is…

x = -b +/- sqrt (b^2 – 4ac)

…… ——————————

………………. 2a

so… in x^2 + 4x + 8…. a = 1, b = +4 and c = +8….

Plugging those (a, b, and c) into the quadratic equation…. you get…

x = -(+4) +/- sqrt ([+4]^2 – 4[1][+8])

…… ——————————

………………. 2[1]

x = -4 +/- sqrt (16 – 32)

…… ——————————

………………. 2

x = -4 +/- sqrt (-16)

…… ——————————

………………. 2

x = -2 +/- (1/2)sqrt (16*[-1])

x = -2 +/- (1/2)(4)sqrt(-1)

x = -2 +/- 2i ** because “i” is another way of writing sqrt(-1) **

So your roots are x = -2 + 2i and x = -2 – 2i

x = -2 + 2i and x = -2 – 2i are what is termed “complex numbers”… they are “imaginary”

Hope this helps!!!

What does the word component propose? in case you do not comprehend the definitions of math words, fixing questions won’t make plenty experience. whilst 2 integers are expanded jointly, the respond is stated as a product. The integers that have been expanded jointly are stated as the climate of the product. to illustrate: 5 x 6 = 30. Numbers 5 and 6 are the climate and 30 is the PRODUCT. once you seek for components, you’re finding for the numbers or words that once expanded provides you with the product. we’ve: x^2 – 6x + 8 = 0…unique question persist with the stairs: (a million) ask your self: What 2 numbers whilst expanded jointly will produce 8 yet whilst added will produce the midsection quantity, which on your question is -6? See it? How approximately -4 situations -2? sure, detrimental 4 situations detrimental 2 = 8 yet whilst added = -6. is this sparkling? (2) WE component the trinomial. So, the trinomial x^2 – 6x + 8 will become (x – 4) (x – 2). word: (x – 4) is a component and (x – 2) is the different component. (3) Set each and each component to = 0 and remedy for x. x – 4 = 0 x = 4. Now, the different component. x – 2 = 0 x = 2 very final answer: x = 4 and x = 2. do you comprehend what which ability? this means that in case you replace x on your unique question with 4 or 2, you will get the comparable answer on the two components. In different words, 4 and a pair of are the ROOTS or answer to your unique question. is this sparkling? returned, very final answer: x = 2 and x = 4. Guido

x = -6

you take -8 to the other side, then take half of the middle number, that being 4. that would be 2, square 2 and put it where the old 8 was. so now you have x^2 + 4x + 4 = -8

now add the new 4 to the other side as welll x^2 +4x + 4 = -8 + 4

new equation is (x+2)(x+2) = -4

set them seperate x+2 = -4

ANSWER: x= -6

x^2+4x+8=0

subtract 8 so that

x^2+4x= -8

then extract an x

x(x+4)= -8

then substitute 0 for one x

x(0+4)= -8

4x= -8

x= -2

and then

0(x+4)= -8

and you cant do that so the only answer is

x= -2

Sorry math really isnt my thing…when my son needs math help he types the problem which for you would be

x^2 + 4x + 8 = 0 into google or yahoo search engine. it usually gives him a detailed answer. hope this helps you. Sorry I couldnt be more help.

Use the quadratic formula. It’s (-b+or-√b^2 – 4ac) / 2a.

ever think that there’s no solution. cuz eventually you’d end up with trying to get the square root of -16, but that’s not possible.