shyshy0412 shyshy0412

15-11-2021
Mathematics

contestada

Solve the equation √7x-6=x-2. Identify any extraneous solutions. Show your work

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lunathemoonchild13 lunathemoonchild13

15-11-2021

√7x-6=x-2
(√7x-6)^2=(x-2)^2
7x - 6 = x^2 - 4x + 4
x^2 - 11x + 10
(x - 1)(x - 10) = 0

x = 1 and x = 10

√7(1)-6 = 1-2 is false, so 1 is an extraneous solution

√7(10)-6 = 10-2 is true, so it is a solution.

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