SOLUTION: What is the value of P if 4x^2 + 20x + P is a perfect square?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: What is the value of P if 4x^2 + 20x + P is a perfect square?      Log On


   



Question 1010879: What is the value of P if 4x^2 + 20x + P is a perfect square?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I can say:
+%28+2x+%2B+sqrt%28P%29+%29%5E2+=+4x%5E2+%2B+4%2Asqrt%28P%29%2Ax+%2B+P+
+4%2Asqrt%28P%29+=+20+
+sqrt%28P%29+=+5+
+P+=+25+
---------------
Check:
+4x%5E2+%2B+20x+%2B+25+=+%28+2x+%2B+5+%29%5E2+
+%28+2x+%2B+5+%29%5E2+=+4x%5E2+%2B+20x+%2B+25+