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The equation (x^(2)+3x+4)^(2)+3(x^(2)+3x...

The equation `(x^(2)+3x+4)^(2)+3(x^(2)+3x+4)+4=x` has a.all its solutions real but not all positive b.only two of its solutions real c. two of its solutions positive and negative d. none of solutions real

A

all its solutions real but not all positive

B

only two of its solutions real

C

two of its solutions positive and negative

D

none of solutions real

Text Solution

Verified by Experts

The correct Answer is:
D
`(d)` `f(x)=x^(2)+3x+4`
`:.f(x)=x` has no real solution
`:.f(f(x))-f(x)=x` also has no real solution.
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