SOLUTION: Given that p+1 and q+1 are the roots of the equation x^2-x-12=0,find the possible of p and Q,thanks~~

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Given that p+1 and q+1 are the roots of the equation x^2-x-12=0,find the possible of p and Q,thanks~~      Log On


   

Question 457262: Given that p+1 and q+1 are the roots of the equation x^2-x-12=0,find the possible of p and Q,thanks~~
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x%5E2+-+x+-+12+=+0+
+%28x+-+4%29%2A%28x+%2B+3%29+=+0+
The roots are
+x+=+4+
+x+=+-3+
The possibilities are:
+p+%2B+1+=+4+
+q+%2B+1+=+-3+
which gives +p+=+3+, +q+=+-4+
or
+p+%2B+1+=+-3+
+q+%2B+1+=+4+
which gives +p+=+-4+, +q+=+3+