Which statement best reflects the solution (s) of the equation? √2x-1-x+2=0

answer choices:

There is only one solution: x = 1. The solution x = 5 is an extraneous solution.

There are two solutions: x = 1 and x = 5.

There is only one solution: x = 5. The solution x = 1 is an extraneous solution.

There is only one solution: x = 5. The solution x = 0 is an extraneous solution.

Question

Mathematics

Renee

8 August, 23:59

Which statement best reflects the solution (s) of the equation? √2x-1-x+2=0

answer choices:

There is only one solution: x = 1. The solution x = 5 is an extraneous solution.

There are two solutions: x = 1 and x = 5.

There is only one solution: x = 5. The solution x = 1 is an extraneous solution.

There is only one solution: x = 5. The solution x = 0 is an extraneous solution.

+1

Answers (1)

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Vanessa Frey · Answer 1

Simplifing the expression and moving to the RHS we have âš2x = x + 1 Let's check for extraneous solution by squaring both sides. I assume the x and 2 are together. So we have 2x = (x+1) ^2 This gives 2x = x^2 + 2x + 1. So x^2 + 2x + 1 - 2x = 0. Then we have x^2 = - 1. When x = 1; 1 is not equal to - 1 so x = 1 is an extraneous solution.