no of values

Find the all the rational values of x for which√(x+x2+3) is a rational no

8 Answers

62
Lokesh Verma ·

Find the all the rational values of x for which√(x+x2+3) is a rational no

there is a concept that the square root of an number is a perfect square or it is a irrational number..

so u have to find the condition that the number you have given is a perfect square!

ofcourse yo have to find a trick to make it a perfect square by putting x=p/q

1
skygirl ·

x=2.

if i get more, i will tell :P

3
msp ·

how to find sir

1
skygirl ·

hmmm...

there is a trick...

take y-x=q (q= rational no. .. since diff of rationals is rational)

so , √x2 + x +3 - x = q

=> x2 + x +3 = (q+x)2

=> (1-2q) x = q2 - 3

=> x= q2 - 3 / (1-2q)

here q = any rational no.

62
Lokesh Verma ·

incredible... :)

good work..

1
skygirl ·

yay!! greeeeeeeeeen [3] [3]

3
msp ·

txx. how did u get this idea sky.

1
skygirl ·

[3]

i did this kinda sum erlier...

but that tym did it myself only...

forgot how i got the idea then :P

sorry :(

may be like this........

we have to take into account two rational no.z at the same tym ...
so we need to connect them some way ..

u can even add ...

but not multiply or dividde..

(THIS IS MY 1000TH POST :p :p :p )

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