Radical Equations and Extraneous Roots

Question 1

What is the solution of ?

Revolt · Accepted Answer

x = twelve-fifths

Question 2

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?

Revolt · Accepted Answer

14.6 feet

Question 3

Determine the solution for the following equation:

Revolt · Accepted Answer

x = 3

Question 4

Which of the following is an extraneous solution of ?

Revolt · Accepted Answer

x = –8

Question 5

Which equation can be rewritten as x + 4 = x2? Assume

Revolt · Accepted Answer

StartRoot x + 4 EndRoot = x

Question 6

Which of the following is a radical equation?

Revolt · Accepted Answer

StartRoot x EndRoot + 3 = 13

Question 7

Which equation is equivalent to ?

Revolt · Accepted Answer

x2 + 81 = x2 + 20x + 100

Question 8

What is the solution of ?

Revolt · Accepted Answer

x = –1

Question 9

Which of the following is an extraneous solution of ?

Revolt · Accepted Answer

x = 3

Question 10

Which equation is related to ?

Revolt · Accepted Answer

x + 10 = x2 + 2x + 1

Radical Equations and Extraneous Roots Answers

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