Question:

The values of $ x $ for which $ 4^x + 4^{1-x} - 5 < 0 $ , is given by

Updated On: Jun 23, 2024
  • $ x = 1 $
  • $ x = 0, 1 $
  • $ x = 0 $
  • $ 0 < x < 1 $
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The Correct Option is D

Solution and Explanation

We have , $4^{x}+4^{1-x}-5
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Concepts Used:

Complex Numbers and Quadratic Equations

Complex Number: Any number that is formed as a+ib is called a complex number. For example: 9+3i,7+8i are complex numbers. Here i = -1. With this we can say that i² = 1. So, for every equation which does not have a real solution we can use i = -1.

Quadratic equation: A polynomial that has two roots or is of the degree 2 is called a quadratic equation. The general form of a quadratic equation is y=ax²+bx+c. Here a≠0, b and c are the real numbers.