Solving by using the Quadratic Formula...Almost done but need help?

Question

Ok, I'm doing a question that I am supposed to solve using the Quadratic Formula. I've already finished most of it, but am stuck at the last part. The equation is

21. 6x^2 + 7x + 2 = 0

I've gotten through most of the steps, and right now I'm at

x = -7 (plus/minus) the square root of 1, divided by 12.

Hard to write out the way it looks on paper, but I'll attempt.

.......-7 (+/-) 1 (sqrt)
x = ----------------------
...............12.............

Anyway, how do I go further? I don't understand what step is next. You can't simplify either -7 or 1, and I'm just confused. Maybe I did the whole thing wrong, but can anyone help?
Thanks so much!

Answer 1

You're almost there. sqrt(1) is 1... you add it to or subtract from -7, then continue to simply.

x = (-7+1) / 12 or (-7-1)/12
= -6/12 or -8/12
= -1/2 or -2/3

Basically, most math teachers would accept your answer.

Answer 2

question huge form a million : For this equation x^2 - 7*x - a million = - 7 , answer right here questions : A. discover the roots applying Quadratic formulation ! B. Use factorization to discover the inspiration of the equation ! C. Use winding up the sq. to discover the inspiration of the equation ! answer huge form a million : First, we would desire to coach equation : x^2 - 7*x - a million = - 7 , right into a*x^2+b*x+c=0 sort. x^2 - 7*x - a million = - 7 , flow each and every thing interior the main suitable hand section, to the left hand component of the equation <=> x^2 - 7*x - a million - ( - 7 ) = 0 , that's the same with <=> x^2 - 7*x - a million + ( 7 ) =0 , now open the bracket and we get <=> x^2 - 7*x + 6 = 0 The equation x^2 - 7*x + 6 = 0 is already in a*x^2+b*x+c=0 sort. In that kind, we are able to completely derive that the fee of a = a million, b = -7, c = 6. 1A. discover the roots applying Quadratic formulation ! Use the formulation, x1 = (-b+sqrt(b^2-4*a*c))/(2*a) and x2 = (-b-sqrt(b^2-4*a*c))/(2*a) We had know that a = a million, b = -7 and c = 6, we would desire to subtitute a,b,c interior the abc formulation, with thos values. Which produce x1 = (-(-7) + sqrt( (-7)^2 - 4 * (a million)*(6)))/(2*a million) and x2 = (-(-7) - sqrt( (-7)^2 - 4 * (a million)*(6)))/(2*a million) that's the same with x1 = ( 7 + sqrt( 40 9-24))/(2) and x2 = ( 7 - sqrt( 40 9-24))/(2) Which make x1 = ( 7 + sqrt( 25))/(2) and x2 = ( 7 - sqrt( 25))/(2) So we get x1 = ( 7 + 5 )/(2) and x2 = ( 7 - 5 )/(2) So we've the solutions x1 = 6 and x2 = a million 1B. Use factorization to discover the inspiration of the equation ! x^2 - 7*x + 6 = 0 ( x - 6 ) * ( x - a million ) = 0 The solutions are x1 = 6 and x2 = a million 1C. Use winding up the sq. to discover the inspiration of the equation ! x^2 - 7*x + 6 = 0 ,divide the two section with a million Then we get x^2 - 7*x + 6 = 0 , all of us know that the coefficient of x is -7 we would desire to apply the reality that ( x + q )^2 = x^2 + 2*q*x + q^2 , and assume that q = -7/2 = -3.5 So we've make the equation into x^2 - 7*x + 12.25 - 6.25 = 0 which could be became into ( x - 3.5 )^2 - 6.25 = 0 So we can get (( x - 3.5 ) - 2.5 ) * (( x - 3.5 ) + 2.5 ) = 0 by applying applying the associative regulation we get ( x - 3.5 - 2.5 ) * ( x - 3.5 + 2.5 ) = 0 And it is the same with ( x - 6 ) * ( x - a million ) = 0 So we've been given the solutions as x1 = 6 and x2 = a million

Answer 3

You're correct, and you basically have the answer.

Since you have [-7 (+/-) 1] / 12, where there is a (+/-), you know you have two answers. Therefore, your answers are

(-7 + 1)/12 and (-7 - 1)/12

Simplifying gives you -6/12 and -8/12, which both reduce to -1/2 and -2/3, respectively.

Also, I see that you have the sqrt(1) above. That is 1.

Answer 4

6 x^2 + 7x + 2 = 0

x = { -7 +/- SQRT[ (7^2) - (4*6*2)]} / 12

x = { -7 +/- SQRT[ 49 - 48]} / 12

x = { -7 +/- SQRT[ 1]} / 12

SQRT(1) = 1 (some will say plus or minus 1, but then, we already have the +/- in front of the SQRT, so we are OK).

x = { -7 +/- 1} / 12

Take each sign in turn:

x = {-7 + 1} / 12 = -6/12 = -1/2 = -0.5
and
x = {-6 -1} / 12 = -8/12 = -2/3 = -0.66666...

Both values are correct answers (try them out in the equation)

Answer 5

your done just do


x= - 7 + 1 (sqrt)/12 and x= -7 -- 1(sqrt)/12

Answer 6

Hey! When I did this, I got:

x=(-7+/- 2*i*sqrt(3))/12

Under the square root sign you should get -12, which will be complex. And can reduce to 2isqrt(3).

Hope this helps!!

Btw, sqrt=squareroot

Answer 7

you are actually done! Sometimes the answers look a little funny