Radical Equations and Extraneous Roots — Quiz Answers

Which of the following is an extraneous solution of square root of 4 x plus 41 end root is equal to x plus 5 ?

The formula that relates the length of a ladder, cap 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 cap l is equal to square root of d squared plus h squared end root What height on the wall will a 15 -foot ladder reach if it is placed 3 point 5 feet from the base of a wall?

A developer is preparing information for potential investors with an initial commitment of $⁢100,000 for 2 years and has determined the relationship between the rate of return, r , and the final value, A , are related by the formula r=sqrt((A)/(100,000))−1 If the developer promises a rate of return of 7.5% , what will be the total value of the investment? Round to the nearest dollar. Enter your answer in the box.

Which of the following is an extraneous solution of open paren 45 minus 3 x close paren raised to the 1 half power is equal to x minus 9 ?

Determine the real and extraneous solution to the equation sqrt(40−x)+10=x Enter your answers in the boxes.

What is the solution of square root of 1 minus 3 x end root is equal to x plus 3 ?

Which of the following is an extraneous solution of square root of negative 3 x minus 2 end root is equal to x plus 2 ?

Determine the solution for the following equation: open paren 8 x minus 8 close paren raised to the 3 halves power is equal to 64

The formula cap t is equal to 2 pi square root of cap l over 32 end root relates the time, cap t , in seconds for a pendulum with the length, cap l , in feet, to make one full swing back and forth. What is the length of a pendulum that makes one full swing in 2 point 2 seconds? Use 3 point 1 4 for pi

A homeowner fills a hot tub with water in 1.5 hours. Using the equation T=sqrt((V)/(40)) , where T is the time in hours it takes to fill the hot tub and V is the volume of the hot tub in cubic feet, determine the volume of the hot tub. Enter your answer in the box.