Question

solve for h.
$h^2 - 43 = -39$
write your answers as integers or as proper or improper fractions in simplest form.
$h = \boxed{}$ or $h = \boxed{}$

Explanation:

Step1: Isolate \( h^2 \)

Add 43 to both sides of the equation \( h^2 - 43 = -39 \) to isolate \( h^2 \).
\( h^2 - 43 + 43 = -39 + 43 \)
Simplifying both sides, we get \( h^2 = 4 \).

Step2: Solve for \( h \)

Take the square root of both sides. Remember that when taking the square root of a positive number, there are two solutions: positive and negative.
\( h = \pm\sqrt{4} \)
Since \( \sqrt{4} = 2 \), we have \( h = 2 \) or \( h = -2 \).

Answer:

\( h = 2 \) or \( h = -2 \)