Nathen Duffy

Mathematics

11 June, 23:41

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

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

2. = StartRoot negative 24 EndRoot

3. 6x + 15 = Negative 2 StartRoot 6 EndRoot

4. 6x = Negative 2 StartRoot 6 EndRoot - 15

5. x = StartFraction negative 2 StartRoot 6 EndRoot minus 15 Over 6 EndFraction

Analyze Marika's steps. Which statement is true about her work?

In step 2, Marika should have simplified StartRoot negative 24 EndRoot to be 4 StartRoot negative 6 EndRoot.

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 StartRoot negative 24 EndRoot = Plus or minus 2 StartRoot 6 EndRoot.

Marika correctly solved this equation.