Mathematics

Whitney Woods

20 March, 00:21

Analyzing Student Work

Analyze Marika's steps. Which statement is true about

her work?

Marika solved the equation (6x + 15) 2 + 24 = 0. Her work

is below.

1. (6x + 15) 2 = - 24

2. V6x + 15) 2 = - 24

In step 2, Marika should have simplified / - 24 to be

4-6

3. 6x + 15 = - 25

4. 6x = - 2.5 - 15

-256-15

5. X=

There are no real solutions to this equation because

the square root of a negative number is not a real

number

There should be two real solutions to this equation

because - 24 = + 25.

Marika correctly solved this equation.