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 5 EndRoot = 12
B
x squared = 16
C
3 + x StartRoot 7 EndRoot = 13
D
7 StartRoot x EndRoot = 14
2
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What is the solution of ?
A
x = –72B
x = –66C
x = 58D
no solution3
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 feet4
What is the solution of ?
A
x = 2B
x = 3C
x = 2 or x = 3D
no solution5
What is the solution of ?
A
x = 6B
x = 72C
x = 126D
no solution6
What is the solution of ?
A
x = twelve-fifths
B
x = negative twelve-fifths
C
x = –6 or x = –3D
no solution7
Which equation is equivalent to ?
A
x + 9 = x + 10B
x + 9 = x2 + 20x + 100C
x2 + 81 = x2 + 100D
x2 + 81 = x2 + 20x + 1008
Which of the following is an extraneous solution of ?
A
x = –8B
x = –2C
x = 2D
x = 89
Which of the following is an extraneous solution of ?
A
x = –12B
x = –3C
x = 3D
x = 1210
Which equation is equivalent to ?
A
x + 11 = 225B
x + 121 = 225C
StartRoot x EndRoot = 15 + 11
D
StartRoot x EndRoot = 15 minus 11
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