SOLUTION: I am having problems completing this problem. Solve by completing square root. Equation has real number solutions. 3p^2-12p-10=0 So far I have worked it to: p^2-12p/3-10/3=

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I am having problems completing this problem. Solve by completing square root. Equation has real number solutions. 3p^2-12p-10=0 So far I have worked it to: p^2-12p/3-10/3=      Log On


   

Question 46158: I am having problems completing this problem.
Solve by completing square root. Equation has real number solutions.
3p^2-12p-10=0
So far I have worked it to:
p^2-12p/3-10/3=0
p^2-4p-10/3=0
where do I go from here?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by "completing the square":
3p%5E2-12p-10+=+0 Your first step is correct! Divide everything by 3 to make the coefficient of P%5E2 = 1.
p%5E2-4p-10%2F3+=+0 Now add 10%2F3 from both sides.
p%5E2-4p+=+10%2F3 Now add the "square of half the coefficient of p" to both sides of the equation, that's %28-4%2F2%29%5E2+=+4.
p%5E2-4p%2B4+=+4%2B10%2F3 Now factor the left side and simplify the right side.
%28p-2%29%28p-2%29+=+22%2F3
%28p-2%29%5E2+=+22%2F3 Take the square root of both sides.
p-2+=+%2Bsqrt%2822%2F3%29 or p-2+=+-sqrt%2822%2F3%29 Add 2 to both sides of these two equations.
p+=+2%2B-sqrt%2822%2F3%29