Solve the Following Question and Mark the Best Possible Option. How Many Solutions to the Equation 2x + X2 = 2 - 1/2x Exist? - Mathematics
Solve the following question and mark the best possible option.
How many solutions to the equation 2x + x2 = 2 - 1/2x exist?
We have 2x + x2 = 2 - `1/(2^x)`
⇒ 2 - x2 = 2x + `1/(2^x)` ≥ 2 ...[For nonnegative real numbers AM≥GM]
⇒ 2 – x2 ≥ 2 ⇒ x2 ≤ 0
⇒ x = 0 is the only solution to the given equation. Hence this has only one solution.
Concept: Quadratic and Linear Equation (Entrance Exam)
Is there an error in this question or solution?
why create a profile on Shaalaa.com?
1. Inform you about time table of exam.
2. Inform you about new question papers.
3. New video tutorials information.