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.
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