SOLUTION: the sum of two numbers is 27 and their product is 152. what are the numbers. i know the ansmwer but i dont know how to show my work and what step to take to get the answer.

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Question 22857: the sum of two numbers is 27 and their product is 152. what are the numbers. i know the ansmwer but i dont know how to show my work and what step to take to get the answer.
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=27
y=27-x
xy=152
x(27-x)=152
-x%5E2%2B27x=152
-x%5E2%2B27x-152=0
Use Quadratic formula: x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a= -1, b=27, c=-152
x+=+%28-27+%2B-+sqrt%28+27%5E2-4%28-1%29%28-152%29+%29%29%2F2%28-1%29%29+
x+=+%28-27+%2B-+sqrt%28+729-608%29%29%2F-2%29
x+=+%28-27+%2B-+sqrt%28121%29%29%2F-2%29
Add: x+=+%28-27+%2B+11%2F-2%29
x=8
27-8 = 19
Hence, the two numbers are 8 and 19.