# The sum of the squares of two positive integer is 208. if the square of the larger number is 18 times the smaller number find the numbers.

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TO FIND ;-

SOL ;-

So by this statement we can write as ,

⇒ y² + 18 y - 208 = 0

⇒ y² + 26 y - 8y - 208 = 0

⇒ y ( y + 26 ) - 8 ( y + 26 ) = 0

⇒ ( y+ 26 ) ( y - 8 ) = 0

We got the value of one integer , now let us find the value of the another integer.......

x² + y²

x² + 64 =208

x² = 208-64

x² = 144

x =

x = 12