Marika solved the equation (6x + 15)2 + 24 = 0. Her work is below. 1. (6x + 15)2 = –24 2. StartRoot (6 + 15) squared EndRoot = S

Question

2 years ago

5

Marika solved the equation (6x + 15)2 + 24 = 0. Her work is below. 1. (6x + 15)2 = –24 2. StartRoot (6 + 15) squared EndRoot = S

tartRoot 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.

Mathematics