The sum of two numbers is 22 and the sum of thei squares is 250. What is the product of the two numbers
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The sum of two numbers is 22 and the sum of thei squares is 250. What is the product of the two numbers
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Answer:
8 and 14
Step-by-step explanation:
8 + 14 = 22
8^2 = 64
14^2 = 196
196 + 64 = 250
Step-by-step explanation:
let the numbers be x & y
x+y = 22
x= 22-y
x²+y² = 250
plug value of x in the equation
(22-y)²+y² = 250
484-44y+y²+y²=250
2y²-44y+484-250=0
2y²-44y+234=0
/2
y²-22y+117=0
x²-13y-9y+117=0
x(x-13)-9(x-13)=0
(x-13)(x-9)=0
x=13 OR 9
the numbers are 9 and 13
the product of 9 and 13 is 117
ANSWER: 117