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Yogita Ingle 5 years, 5 months ago
For a pair of given positive integers ‘a’ and ‘b’, there exist unique integers ‘q’ and ‘r’ such that
a=bq+r where 0≤r<b
Explanation:
Thus, for any pair of two positive integers a and b; the relation
a=bq + r where 0≤ r < b will be true where q is some integer.
Posted by Frederick Francis 5 years, 5 months ago
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Yogita Ingle 5 years, 5 months ago
let the no. be x and x+1
then we have x²+(x+1)²=365
2x²+2x-364=0
x²+x-182=0
x²+14x-13x-182=0
(x+14)(x-13)=0
That gives x=13 Avoiding negative value
one number is 13 and other one 14.
Posted by Ronak Sahu 5 years, 5 months ago
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Yogita Ingle 5 years, 5 months ago
Let us assume that 5 +√3 is rational.
Let ,
5 +√3 = r , where "r" is rational
5 + r = √3
Here,
LHS is purely rational.But,on the other hand ,RHS is irrational.
This leads to a contradiction.
Hence,5+√3 is irrational
.
Posted by Preet Kaur 5 years, 5 months ago
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Vishvajit Yadav 5 years, 5 months ago
Yogita Ingle 5 years, 5 months ago
3X - 5Y = 4----------(1)
9X - 2Y = 7-------------(2)
From EQUATION (1) we get,
3X - 5Y = 4
3X = 4+5Y
X = 4+5Y/3 -------------(3)
Putting the value of X in equation (2)
9X - 2Y = 7
9 × (4+5Y/3) - 2Y = 7
3(4+5Y) - 2Y = 7
12 + 15Y - 2Y = 7
13Y = 7 -12
13Y = -5
Y = -5/13
Putting the value of X in equation (3)
X = 4+5Y/3 => 3 + 5 × -5/13 = 3 - 25/13 /3
X = 39 - 25/13/3 = 14/13/3 => 14/13 × 1/3 => 14/9
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