SOLUTION: Multiply every term in the equation 3x^2 + 2 = 77 a number other than 0 that has not been used in this discussion thread already, and solve for x by applying the square root pr

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Multiply every term in the equation 3x^2 + 2 = 77 a number other than 0 that has not been used in this discussion thread already, and solve for x by applying the square root pr      Log On


   

Question 731924: Multiply every term in the equation 3x^2 + 2 = 77 a number other than 0 that has not been used in this discussion thread already, and solve for x by applying the square root property.
These numbers can not be used: 0, 1,

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
You might have meant 3x%5E2+%2B+2x+=+77
You could multiply both sides of the equal sign times highlight%283%29 to get
9x%5E2%2B6x=231
From there
9x%5E2%2B6x=231 --> 9x%5E2%2B6x%2B1=231%2B1 --> %283x%2B1%29%5E2=232
So,
either 3x%2B1=sqrt%28232%29 --> 3x=-1%2Bsqrt%28235%29 ,
or 3x%2B1=-sqrt%28232%29 --> 3x=-1-sqrt%28232%29
You can write both answers as
3x=-1+%2B-+sqrt%28232%29 --> highlight%28x=%28-1+%2B-+sqrt%28232%29%29%2F3%29

NOTE: because 232=4%2A58 --> sqrt(252)=sqrt(4*58)=sqrt(4)*sqrt(58)=2sqrt(58)}}}
so highlight%28x=%28-1+%2B-+2sqrt%2858%29%29%2F3%29 is another way to express the anmswer.