# SOLUTION: I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!! Solving Polynomial Equ

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 Question 166928This question is from textbook Algebra and Trigonometry Structure and Method book 2 : I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!! Solving Polynomial Equations. Solve. Identify all multiple roots. (x^2-3)^2+(x^2-3)-2=0This question is from textbook Algebra and Trigonometry Structure and Method book 2 Answer by stanbon(57231)   (Show Source): You can put this solution on YOUR website!Identify all multiple roots. (x^2-3)^2+(x^2-3)-2=0 ----------------- Substitution: Let w = x^2-3 ------------- You get: w^2 + w -2 = 0 Factor to get: (w+2)(w-1) = 0 w = -2 or w = 1 ------------------ Solve for "x": If w = -2, then x^2-3 = -2 x^2 = 1 x = 1 or -1 --------------- If w = 1, then x^2-3 = 1 x^2 = 4 x = 2 or x = -2 ===================== Cheers, Stan H.