Question

Solve the following equation by taking the square root 12 - 6n2 = -420​ i need help

Answer 1

Answer:

  $n=\pm 6\sqrt{2}$

Step-by-step explanation:

It may work well to divide by 6, subtract 2, and multiply by -1 before you take the square root.

  $12-6n^2=-420\\2-n^2=-70 \qquad\text{divide by 6}\\-n^2=-72 \qquad\text{subtract 2}\\n^2=72 \qquad\text{multiply by -1}\\\\n=\pm\sqrt{36\cdot 2} \qquad\text{take the square root}\\\\n=\pm 6\sqrt{2} \qquad\text{simplify}$