Radical Equations and Extraneous Roots Answers
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1
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Which of the following is a radical equation?
A
x StartRoot 3 EndRoot = 13
B
x + StartRoot 3 EndRoot = 13
C
StartRoot x EndRoot + 3 = 13
D
x + 3 = StartRoot 13 EndRoot
2
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Determine the solution for the following equation:
A
x = 3B
x = 5C
x = 13D
x = 653
What is the solution of ?
A
x = –8 or x = –1B
x = –8C
x = –1D
no solution4
The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is . What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?
A
11.5 feetB
13.1 feetC
14.6 feetD
15.4 feet5
What is the solution of ?
A
x = –72B
x = –66C
x = 58D
no solution6
Which equation is related to ?
A
x + 10 = x2 + x + 1B
x + 10 = x2 + 2x + 1C
x + 10 = x2 + 1D
x + 10 = x2 – 17
Which of the following is an extraneous solution of ?
A
x = –6B
x = –1C
x = 1D
x = 68
Which equation is equivalent to ?
A
x + 9 = x + 10B
x + 9 = x2 + 20x + 100C
x2 + 81 = x2 + 100D
x2 + 81 = x2 + 20x + 1009
What is the solution of ?
A
x = 2B
x = 3C
x = 2 or x = 3D
no solution10
What is the solution of ?
A
x = twelve-fifths
B
x = negative twelve-fifths
C
x = –6 or x = –3D
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