SOLUTION: More missing numbers. The sum of two numbers is 6.5, and their product is 9. Find the numbers.

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Question 156055This question is from textbook Algebra for College Students
: More missing numbers. The sum of two numbers is 6.5, and their product is 9. Find the numbers. This question is from textbook Algebra for College Students

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x) a+b=6.5
y) ab=9
.
x) a=6.5-b
y)
b(6.5-b)=9
6.5b-b^2=9
-b^2+6.5b-9=0
b^2-6.5b+9=0
b^2-6.5 =-9
b^2-6.5+10.5625=-9+10.5625 Completing the square
(b^2-3.25)^2=1.5625
b-3.25=+-1.25 square root of both sides.
b=3.25+-1.25
b=4.5, b=2
.
Ed