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### High School Mathematics - 212.5 Equations Reducible to Quadratic Form

 Example: Solve x4 + x2 - 12 = 0 Solution: The given equation is not quadratic We reduce it Put x2 = y, then the equation becomes y2 + y - 12 = 0 The factors are y = 3, y = -4 If y = 3, then x2 = 3. Therefore x = +Ö3, -Ö3 If y = , then x = +2i, x = -2i Directions: Solve the following equations
 Q 1: (x2+1/x2) + (x+1/x) - 4= 01,1,(-3+Ö5)/2,(-3-Ö5)/21,5,61,2 Q 2: (x2-5x)2-30(x2-5x)-216 = 01,3,42,3,-4, 92,4 Q 3: x2/3+x1/3-2 = 01,-81,61,5 Q 4: Ö(x/1-x)+ Ö(1-x)/x = 13/61/3, 1/54/13, 9/132, 3 Q 5: x4-5x2+6 = 0Ö2, 3Ö3,2+Ö2, -Ö2, +Ö Q 6: (x2-5x+7)2-(x-2)(x-3) = 72,3,51,Ö3,51,4,(5+iÖ11)/2, 5-iÖ11)/2 Q 7: 12x-56x3+89x2-56x+12 = 01, 51/2, 2/3, 3/2 and 21, 2/3, 4 Q 8: 4x-5.2x+4 = 01, 51, 30, 2 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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