If the sum and product of two numbers are 25 and 144 respectively then the difference of the numbers must be
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Let the numbers be x & y .
Product is 25
xy = 144 .
Sum is 25 .
x + y = 25 .
( x + y )^2 = x^2 + 2xy + y^2
》( 25 )^2 = x^2 + 2 ( 144 ) + y^2
》625 = x^2 + y^2 + 288
》x^2 + y^2 = 625 - 288 .
》x^2 + y^2 = 337 .
( x - y )^2 = x^2 + y^2 - 2xy
》( x - y )^2 = 337 - 288
》( x - y )^2 = 49
》( x - y ) = 7
So the difference is 7.
Hope it helps you ..!!
✌
Let the numbers be x & y .
Product is 25
xy = 144 .
Sum is 25 .
x + y = 25 .
( x + y )^2 = x^2 + 2xy + y^2
》( 25 )^2 = x^2 + 2 ( 144 ) + y^2
》625 = x^2 + y^2 + 288
》x^2 + y^2 = 625 - 288 .
》x^2 + y^2 = 337 .
( x - y )^2 = x^2 + y^2 - 2xy
》( x - y )^2 = 337 - 288
》( x - y )^2 = 49
》( x - y ) = 7
So the difference is 7.
Hope it helps you ..!!
✌
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