SOLUTION: I really am needing some help with this please. Solve and show all work. 51p=2p^2+72

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I really am needing some help with this please. Solve and show all work. 51p=2p^2+72      Log On


   

Question 408933: I really am needing some help with this please.
Solve and show all work.
51p=2p^2+72
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

51p=2p%5E2%2B72
0=2p%5E2+-+51p+%2B72...or
2p%5E2+-+51p+%2B72=0.use quadratic formula

p+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+.....you have a=2, b=-51 and c=72

p+=+%28-%28-51%29+%2B-+sqrt%28+%28-51%29%5E2-4%2A2%2A72+%29%29%2F%282%2A2%29+

p+=+%2851+%2B-+sqrt%28+2601-576+%29%29%2F4+

p+=+%2851+%2B-+sqrt%28+2025%29%29%2F4+

p+=+%2851+%2B-++45%29%2F4+

p1+=+%2851+%2B++45%29%2F4+
p1+=+%2896%29%2F4+
p1+=+24+.....first root

p2+=+%2851+-++45%29%2F4+
p2+=+6%2F4+
p2+=+1.5+....second root