Final answer:
The equation that has the same solution as x² + 12x – 6 = 5 is D (x + 6)² = –25.
Step-by-step explanation:
The equation that has the same solution as x² + 12x – 6 = 5 is D (x + 6)² = –25.
To find the equation with the same solution, we need to rearrange the equation x² + 12x – 6 = 5 into vertex form, which is (x - h)² = k.
When the equation is rearranged, we get (x + 6)² = –25, which has the same solution as the original equation.