Question

the sum of two number is 25 and their product is 144 find the number ​

Answer 1

Answer:

difference is 7

Step-by-step explanation:

Answer

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QUEEN007

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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 ..!!

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Answer 2

Answer:

X+ Y=25.....(1)

X.Y=144.....(2)

X=144/Y....(3)

substituting the value of X in equation (1)

144/Y+Y=25

144+y^2=25y .....( multiply by Y through out)

Y^2-25Y+144=0

Y^2-16Y-9Y+144=0

Y(Y-16) + 9(Y-16)=0

(Y+9)(Y-16)=0

Y+9=0 OR Y-16=0

Y=-9. OR. Y=16

substituting value of Y in equation 1

X-9=25. OR. X+16=25

X=34. OR. X= 9