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Range

If | |x| -...

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If | |x| - 1 | < | 1 - x |, x belongs to R, then find range of x

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Q. If the roots of the equation

(a - 1) (x^{2} + x + 1)^{2} = (a + 1) (x^{4} + x^{2} + 1)

are real and distinct, then

a

| x - 1 | + | x + 1 | = 2

x

Let A = {x such that x belongs to N and x+1 < 8} and B = {x such that x belongs to N and x+3≤5}. Then find A union B?

a \in R

and the roots of

x^{2} - 2 x - a^{2} + 1 = 0

lies between the roots of

x^{2} - (a + 1) x + 1 (a - 1) = 0

then 'a' belongs to.

1 \leq | x | < 4

x

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