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The product of two numbers is …

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The product of two numbers is 56.when their sum is added to the sum of their squares,we get 128.find the numbers
  • 1 answers

Ram Kushwah 6 years, 9 months ago

Let the no. are x,y

so xy=56

x2+y2+x+y=128

(x+y)2-2xy+x+y=128

Ley x+y=m

m2-2*56+m=128

m2+m-240=0

m2+16m-15m-240=0

m(m+16)-15(m+16)=0

(m+16)(m-15)=0

m=15 or -16

x+y=15 or -16

xy=56

If x+y=15 Then x=8,y=7

 

 

 

 

 

Also

sum of no+sum squares=128

x+x/56+x2+x2/562=128

57x/56+x2+x2/3136=128

Multiply by 3136

56*57x+3136x2+x2=128*3136

3192x + 3137x2-

 

 

 

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