Introduction to proofs.Consider the following existential statement.Theorem: There is a real number that is equal to its square.Select the numbers that show that the existential statement is true. The image displays a vertical list with five entries. Each entry consists of a square checkbox followed by a numerical value. The values listed are:- 0.91- 10- 0- 1- -6This format suggests that it may be part of a form or a survey where users can select one or more options. The numbers may represent different categories, scores, or quantities relevant to the context in which this checkbox list is used. There are no graphs or diagrams included in this image.

Que Ans - prove there is real number that is equal to its square That is there exist x in Real number such that x^2=x x^2=x Implies x^2 - x =0 x(x-1) =0 ( taking x as common) Product of x(x-1) real number is zero implies either x=0 or (x-1)=0 (x-1)=0 implies x=1 We get two real number that is equal to its square x=0 And x=1 See Option number (3) and (4)

Answered: . Theorem: There is a real number that…

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. Theorem: There is a real number that is equal to its square. Select the numbers that show that the existential statement is true.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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