Question

the no. x is 2 more than no. y.If the sum of the squares of x and y is 34,then find the product of x and y.​

Answer 1

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x=y+2

x²+y²=34

(y+2)²+y²=34

y²+4+4y+y²=34

2y²+4y+4=34

y²+2y+2=17

y²+2y=15

y²+2y-15=0

y²+5y-3y-15=0

y(y+5)-3(y+5)=0

(y-3)(y+5)=0

∴ y=3

    y= -5

x=y+2

1st case:

x=3+2

x=5

2nd case

x= -5+2

x= -3

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