Question

Compare and Contrast: Two equations are listed below. Solve each equation and compare the solutions. Choose the statement that is true about both solutions.


Equation 1 Equation 2
|5x + 6| = 41 |2x + 13| = 28

Equation 1 has more solutions than equation 2.

Equation 1 and Equation 2 have the same number of solutions.

Equation 2 has more solutions than Equation 1.

The number of solutions cannot be determined

Answer 1

You can think of absolute value as the (positive only) root of the quantity squared

\[ \Large |v| = \sqrt {v^2} \]

It is the same whether v is positive or negative. Or in other words two values of v are equivalent under absolute value.

Answer 2

so wagt answer would it be

Answer 3

what

Answer 4

How many solutions does equation one have?

Answer 5

has more then 2

Answer 6

No.

Answer 7

oh wouldn't they have both

Answer 8

Equation 1 has exactly two solutions: one when 5x+6 >0 and one when 5x+6 < 0.
How many solutions does equation 2 have?

Answer 9

can not be determined

Answer 10

No. What is the difference in form between I and II? (Hint: there is not a difference in form.
So if I has two solutions, how many solutions does II have?

Answer 11

they have the same then

Answer 12

Yes. The both have exactly two solutions. (This will not necessarily be true when the variable is raised to a higher power, but the method is the same. |thing| means there are two cases: thing > 0 and thing < 0. )

Answer 13

thanks