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Question

Question: The number of real roots of the equation \(\frac{1}{4}\) \(1 + i\) are....

The number of real roots of the equation 14\frac{1}{4} 1+i1 + i are.

A

1

B

2

C

Infinite

D

None

Answer

None

Explanation

Solution

Given equation x=αx = \alpha

Let nanxn1+(n1)an1xn2+....+a1=0na_{n}x^{n - 1} + (n - 1)a_{n - 1}x^{n - 2} + .... + a_{1} = 0, then given equation can be written as

α\alphaα\alpha

But the value of α\alpha is always positive, so

α\alpha

P(x)P(x)2\leq 2

which is impossible, since P(0)=0,P(0) = 0, cannot be greater than 1. Hence we cannot find any real value of x which satisfies the given equation.