SOLUTION: What are the two numbers that when you multiply them, the answer is 600r² and if you add them, the answer is 10? By the way, this is the problem: (3r+1)²+(r+2)²=65

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: What are the two numbers that when you multiply them, the answer is 600r² and if you add them, the answer is 10? By the way, this is the problem: (3r+1)²+(r+2)²=65      Log On


   

Question 976779: What are the two numbers that when you multiply them, the answer is 600r² and if you add them, the answer is 10? By the way, this is the problem: (3r+1)²+(r+2)²=65
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
%283r%2B1%29%5E2%2B%28r%2B2%29%5E2=65
simplifies to
%289r%5E2%2B6r%2B1%29%2B%28r%5E2%2B4r%2B4%29=65
10r%5E2%2B10r%2B5=65
Now divide through by 5
2r%5E2%2B2r%2B1=13
2r%5E2%2B2r-12=0
Divide by 2
r%5E2%2Br-6=0
%28r-2%29%28r%2B3%29
r=2 or r= -3
No need to multiply to 600