SOLUTION: Please help me solve this practice test question: If ab=10, and a-squared + b-squared = 30, solve for y in the equation, y=(a+b)squared. Can you explain it also? Many thanks!

Algebra ->  Expressions-with-variables -> SOLUTION: Please help me solve this practice test question: If ab=10, and a-squared + b-squared = 30, solve for y in the equation, y=(a+b)squared. Can you explain it also? Many thanks!       Log On


   



Question 397724: Please help me solve this practice test question:
If ab=10, and a-squared + b-squared = 30, solve for y in the equation, y=(a+b)squared. Can you explain it also? Many thanks!
a. 40
b. 45
c. 50
d. 55

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We have ab+=+10 and a%5E2+%2B+b%5E2+=+30. Since

%28a%2Bb%29%5E2+=+a%5E2+%2B+2ab+%2B+b%5E2+=+a%5E2+%2B+b%5E2+%2B+2ab, we can substitute a%5E2+%2B+b%5E2 and ab to obtain

%28a%2Bb%29%5E2+=+30+%2B+2%2810%29+=+50 so choice C is correct.