SOLUTION: Hi, I would really like to know if these two equations are the same. x^2 = 3x + 12 re-wrote as x^2 + 3x = 12 x^2+3x=12 x^2+ 3x+ (3/2)^2=12+(3/2)^2 (x+3/2)^2= &#87

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Hi, I would really like to know if these two equations are the same. x^2 = 3x + 12 re-wrote as x^2 + 3x = 12 x^2+3x=12 x^2+ 3x+ (3/2)^2=12+(3/2)^2 (x+3/2)^2= &#87      Log On

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Question 121681: Hi, I would really like to know if these two equations are the same.
x^2 = 3x + 12 re-wrote as x^2 + 3x = 12
x^2+3x=12
x^2+ 3x+ (3/2)^2=12+(3/2)^2
(x+3/2)^2= √57/4

x+ 3/2= + √(57/4)=+ √((3^1*〖19〗^1)/2^2 )=+ √57/2
= x+ 3/2= - √(57/4)=- √((3^1*〖19〗^1)/2^2 )- √57/2
x+3/(2 )– 3/2=+√57/2-3/2
x+3/(2 )– 3/2=-√57/2-3/2
x=-3/2+ √57/2
x=-3/2- √57/2
x^2+3x=12
(-3/2+ √57/2)^2+3*(-3/2+ √57/2)=12
(-3/2- √57/2)^2+3*(-3/2- √57/2)=12
Thank you.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Which two equations are you comparing?
Cheers,
Stan H.