SOLUTION: Quadratic Equations: Find real Solutions, show work. (2-y)^4=3(2-y)^2+1

Question 1067958: Quadratic Equations: Find real Solutions, show work.
(2-y)^4=3(2-y)^2+1

Found 2 solutions by t0hierry, ikleyn:
Answer by t0hierry(194) (Show Source): You can put this solution on YOUR website!
Change variable x = (2 -y)^2
The equation becomes
x^2 - 3x - 1 = 0
whose solutions are

Answer by ikleyn(52793) (Show Source): You can put this solution on YOUR website!
.

Introduce new variable x = (2 -y)^2 The equation becomes x^2 - 3x - 1 = 0 whose solutions are = . Hence, = +/- , = .

Two of four roots with the sign "-" (minus) under the square radical are complex numbers.

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