x^2 – 2x + 1 = 5x – 9
5 – 1 = √5(5)-9 4 = √16 4 = 4 Correct! 3 – 1 = √5(3)-9 2 = √6 Incorrect!
(x – 1)^2 = (√5x-9)^2
x = 5 or 3
x^2 – 2x + 1 = 5x – 9
(x – 1)(x – 1) = 5x – 9
x^2 – 7x + 10 = 0
(x – 5)(x – 3) = 0
x – 1 = √5x-9
Used Zero Product Property
Set equal to zero
Binomial Expansion
Binomial Expansion
Multiplied Binomials
Factored
Check for Extraneous Solutions!
Given Equation
Square both sides to eliminate the square root.