SOLUTION: Two squares have sides p cm and (p+5) cms. The sum of their squares is 625 sq.cm. The sides of the squares are ?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Two squares have sides p cm and (p+5) cms. The sum of their squares is 625 sq.cm. The sides of the squares are ?      Log On


   

Question 367063: Two squares have sides p cm and (p+5) cms. The sum of their squares is 625 sq.cm. The sides of the squares are ?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, 



p^2 + (p+5)^2 = 625 cm^2

2p^2 + 10 p + 25 = 625cm^2

2P^2 + 10 p - 600cm^2 = 0

p^2 + 5p - 300cm^2 = 0

factoring

(p + 20)(x - 15) = 0

(p + 20)=0

p = -20 cannot use this solution

(x - 15) = 0

x = 15cm

15cm and 20cm are the sides of the squares