12. Is this reasoning for finding the solutions of the equation V 2x – 1 = X correct? (1) 2x - 1 = X is given; %3D (2) 2x (1); - 1 : x ,obtained by squaring both sides of 2 X - 1 = 0, obtained by subtracting x from both (3) sides of (2); (4) (x – 1) (x + 1) = 0, obtained by factoring the %3D 2 left-hand side of x - 1; -%3B (5) implies that a = 0 or b = 0. X = 1 or X = -1, which follows because ab = 0 %3D

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
icon
Related questions
Question
12. Is this reasoning for finding the solutions of the equation
V 2x – 1
= X correct?
(1)
2x - 1 = x is given;
%3D
2x – 1 =
x ,obtained by squaring both sides of
(1);
X - 1 = 0, obtained by subtracting x from both
(3)
sides of (2);
(4)
(x – 1) (x + 1) = 0, obtained by factoring the
%3D
2
left-hand side of x- 1;
-%3B
(5)
X = 1 or X = -1, which follows because ab = 0
%3D
implies that a = 0 or b = 0.
Transcribed Image Text:12. Is this reasoning for finding the solutions of the equation V 2x – 1 = X correct? (1) 2x - 1 = x is given; %3D 2x – 1 = x ,obtained by squaring both sides of (1); X - 1 = 0, obtained by subtracting x from both (3) sides of (2); (4) (x – 1) (x + 1) = 0, obtained by factoring the %3D 2 left-hand side of x- 1; -%3B (5) X = 1 or X = -1, which follows because ab = 0 %3D implies that a = 0 or b = 0.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer