SOLUTION: This one has me stumped. I appreciate any help I can get. 225w^2 + 810wp + 729p^2 Thanks, Patrice

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: This one has me stumped. I appreciate any help I can get. 225w^2 + 810wp + 729p^2 Thanks, Patrice      Log On


   

Question 259808: This one has me stumped. I appreciate any help I can get.
225w^2 + 810wp + 729p^2
Thanks,
Patrice
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
What if the equation was
225x%5E2+%2B+810x+%2B+729=0 ???
What would you do??
You'd use the quadratic formula.
Use it and treat p and p%5E2 as constants.
225w%5E2+%2B+810wp+%2B+729p%5E2=0
w+=+%28-810p+%2B-+sqrt%28+%28810p%29%5E2-4%2A225%2A729p%5E2+%29%29%2F%282%2A225%29+
w+=+%28-810p+%2B-+sqrt%28+656100p%5E2-656100p%5E2+%29%29%2F%28450%29+
w+=+%28-810p+%2B-+sqrt%28+0+%29%29%2F%28450%29+
Since the discriminant is zero, this is a double root.
w+=+-81p%2F45=-9p%2F5+
5w=-9p
225w%5E2+%2B+810wp+%2B+729p%5E2=9%285w%2B9p%29%5E2