x^2+6x+2=0?

Question

what is x? thanks

Answer 1

use half formula

-3+sqrt(7)
-3-sqrt(7)

Answer 2

The answer is indeed -3 +/- square root of 7. If you don't want to use the quadratic equation, you can use the complete the square method.

x^2 +6x + 2 = 0

You want to add a number to both sides of the equation that will enable you to have two equal factors on the right side of the equation. In this case the number is 7. (To find the number take the middle term, in this case 6, divide it in half and square it. 6/2=3 and 3^2=9. You already have 2 on the right side of the equation, so you want to add 7 to make 9).

x^2+6x+2+7= 7

X^2+6x+9= 7

(x+3)(x+3)=7

Now we take the square root of both sides. So

(x+3)= square root of 7

Therefore, x= -3 + the square root of 7. It's conjugate, -3 - the square root of 7 is a solution as well.

Answer 3

This is a quadratic equation in the form ax^2+bx+c=0, where a=1, b=6, and c=0. The solution is obtained using the quadratic formula:

x= [-b +/-sqrt(b^2 - 4*a*c)]/2a

Answer 4

If you were given this equation, you already have some familiarity with the quadratic formula. Someone has already given it to you and you need to work it to develop competence, not just asking what x is.

Answer 5

Wow...this is deep. I guess I should've sat in the front of the class and paid attention.

Answer 6

x = -3 - root(7)

or

x = root(7) - 3

Answer 7

use quadratic formula...it works every time

Answer 8

+/- 0.355......plus or minus 0.355/ u have to use the quadratic formula... positive!

Answer 9

I could do it but what would that teach you?