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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics - 2
12.5 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 = +3, -3
If y = , then x = +2i, x = -2i


Directions: Solve the following equations
Q 1: 4x-5.2x+4 = 0
1, 3
0, 2
1, 5

Q 2: (x2-5x+7)2-(x-2)(x-3) = 7
2,3,5
1,4,(5+i11)/2, 5-i11)/2
1,3,5

Q 3: 12x-56x3+89x2-56x+12 = 0
1/2, 2/3, 3/2 and 2
1, 2/3, 4
1, 5

Q 4: x(x+2)(x2-1) = -1
(-1+5)/2, (-1-5)/2
1,5
2,5

Q 5: x2/3+x1/3-2 = 0
1,6
1,-8
1,5

Q 6: (x2-5x)2-30(x2-5x)-216 = 0
2,3,-4, 9
1,3,4
2,4

Q 7: (x/1-x)+ (1-x)/x = 13/6
1/3, 1/5
2, 3
4/13, 9/13

Q 8: x4-5x2+6 = 0
+2, -2, +3,2
2, 3

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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