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?Prashant? ?Umarani? 5 years, 5 months ago
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Yogita Ingle 5 years, 5 months ago
The rational numbers are numbers which can be expressed as a fraction and also as positive numbers, negative numbers and zero. It can be written as p/q, where q is not equal to zero.
Rational word is derived from the word ‘ratio’, which actually means a comparison of two or more values or integer numbers and is known as a fraction. In simple words, it is the ratio of two integers.
Example: 3/2 is a rational number. It means integer 3 is divided by another integer 2.
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Lucifer ? Morningstar? 5 years, 5 months ago
Gungun Pradhan 5 years, 5 months ago
Yogita Ingle 5 years, 5 months ago
(2x-1) (X-2) =0
2x ( x - 2) - 1 ( x- 2) = 0
2x2 - 4x - 1x + 2 = 0
2x2 - 5x + 2 = 0
2x2 - 4x - 1x + 2= 0
2x (x - 2) - 1(x - 2) =0
(x - 2) ( (2x-1) = 0
x - 2 = 0 and 2x - 1 = 0
x = 2 and 2x = 1
x = 2 abd x = 1/2
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Yogita Ingle 5 years, 5 months ago
Given 7×11×13+13
=13×(7×11+1)=3×78
This number is multiple of two integers. Hence it has more than two factors. Hence it is a composite number.
similarly in
7×6×5×4×3 ×2×1+5
=5(7×6×4×3 ×2×1+1)=5×1009
This number is multiple of two integers.Hence it has more than two factors.Hence it is a composite number.
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Yogita Ingle 5 years, 5 months ago
The largest number by which x , y
divisible and gives the remainder a ,
and b is
the HCF of ( x - a ) and ( y - b)
According to the given problem ,
The largest number which divides
70 and 125 leaving remainders 5 and
8 respectively are
HCF of ( 70 - 5 ) = 65 and
( 125 - 8 ) = 117
65 = 5 × 13
117 = 3 × 3 × 13
HCF ( 65 , 117 ) = 13
Required number is 13.
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Yogita Ingle 5 years, 5 months ago
3x-4y=-16 ......... (i)
2x+4y=16 ........ (ii)
Add (i) and (ii), we get
5x = 0
x = 0
put x = 0 in (ii), we get
2(0) + 4y = 16
4y = 16
y = 4

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Kartikey Mishra 5 years, 5 months ago
1Thank You