the sum of square of two consecutive natural no is 244 find the numbers
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12 and 10 square of 12 is 144 square of 10 isc100 add
tejas7011:
this is wrong answer
se my answer
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Hey mate thank for the question
Let the no=x,(x+2)
ATP=>
(x)^2+(x+2)^2=244
x2+x2+4+4x=244
2x2+4x+4=244
2(x2+2x+2)=244
x2+2x+2=122
x2+2x=122-2
x2+2x=120
x2+2x-120=0
x2+(10-12)x-120=0
x2+10x-12x-120=0
x(x+10)-12(x+10)=0
(x+10)(x-12)
So the no =x
=10,-12
second no = (x+1)
=10+2 =-12+2
=12. = -10
Let the no=x,(x+2)
ATP=>
(x)^2+(x+2)^2=244
x2+x2+4+4x=244
2x2+4x+4=244
2(x2+2x+2)=244
x2+2x+2=122
x2+2x=122-2
x2+2x=120
x2+2x-120=0
x2+(10-12)x-120=0
x2+10x-12x-120=0
x(x+10)-12(x+10)=0
(x+10)(x-12)
So the no =x
=10,-12
second no = (x+1)
=10+2 =-12+2
=12. = -10
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