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Hello...The sum of two natural no.s is 12 and the sum of their squares is 74 .Find the no.s.

Answer»

ANSWER:

if y=7, X=5

if y=5,x=7

Step-by-step explanation:

let FIRST and SECOND no be x and y respectively

x+y=12

x²+y²=74

x=12-y

(12-y)²+y²=74

144-24y+y²+y²=74

2y²-24y+144-74=0

2y²-24y+70=0

y²-12y+35=0

y²-5y-7y+35=0

y(y-5)-7(y-5)=0

(y-7)(y-5)=0

y=7 and y=5

if y=7, x=5

if y=5,x=7



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