In exercises 18 and 19 determine which solution if any is an extraneous solution 18.sprt(3x-2)=x; x=1,x=2. 19. sprt(x+6=x; x=3,x=-2

ANSWER

18. No extraneous solution.

19. The extraneous solution is x=-2

EXPLANATION

18. The given radical equation is:

Solving this radical equation yields

We check for an extraneous solution by substituting each value into the equation.

Checking for x=1,

This is true.

Checking for x=2

This is also true. Hence there is no extraneous solution.

19. The given radical equation is:

Solving this equation yields,

Checking for x=3,.

3=3.

This is a true solution.

Checking for x=-2.

Hence x=-2 is an extraneous solution.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation: