Solve for h.

Question

5h2 + 45 = 90

Write your answers as integers or as proper or improper fractions in simplest form.

h =
or h =

Answer 1

To solve the equation \( 5h^2 + 45 = 90 \), we first isolate the term with \( h \):

1. Subtract 45 from both sides: \[ 5h^2 = 90 - 45 \] \[ 5h^2 = 45 \]

2. Next, divide both sides by 5: \[ h^2 = \frac{45}{5} \] \[ h^2 = 9 \]

3. Now, take the square root of both sides. Remember that taking the square root yields both positive and negative solutions: \[ h = \pm \sqrt{9} \] \[ h = \pm 3 \]

Thus, the solutions are: \[ h = 3 \quad \text{or} \quad h = -3 \]

So, the final answers are: \[ h = 3 \quad \text{or} \quad h = -3 \]