Question

What is the solution of this equation? -1/2n2+18=0

Answer 1

Answer:

$n=-6\text{ or } n=6$

Step-by-step explanation:

So we have the equation:

$-\frac{1}{2}n^2+18=0$

Subtract 18 from both sides. The left cancels:

$-\frac{1}{2}n^2=-18$

Multiply both sides by -2. The left cancels again:

$n^2=36$

Take the square root of both sides:

$n=\pm\sqrt{36}$

Since we're taking the square root, we need to use plus-minus.

Evaluate:

$n=\pm 6$

So, the solutions are -6 or 6.