I have to solve this equation by finding what H is. Can you show me the steps?

Question

.96-19.44H^ -2

y= .96-19.44H^-2

Answer 1

What you have given us is an expression, not an equation. An equation could be solved for H, however an expression can not.

Answer 2

This is not an equation!
An "equation" has an "equals" sign in it.
If you meant that this equals zero, then
H = ±4.5
since if
.96 - 19.44H^-2 = 0
19.44H^-2 = .96 (by adding 19.44H^-2 to both sides)
19.44 = .96 * H^2 (by multiplying both sides by H^2)
H^2 = 19.44 / .96 = 20.25 (by dividing both sides by .96)
H = √(20.25) = ±4.5 (by taking the square root, noticing that there are two square roots for every number)

p.s. Setting it equal to y doesn't allow you to find a numerical value for H. y must be equal to some numerical value to find a numerical value for H. Again, if y=0 then
H = ±4.5
Otherwise, the answer is just H = ±√[19.44 / (.96 - y) ]

y = .96 - 19.44H^ -2
19.44H^ -2 = .96 - y
H^-2 = (.96 - y) / 19.44
H^2 = 19.44 / (.96 - y)
H = ±√[19.44 / (.96 - y) ]

Answer 3

In the new equation you would just move things over for y so:
Y-.96 =-19.44H^-2
then (19.44)/H^2 = Y-.96
multiple over and 19.44 = H^2(Y-.96)
you then devide by the Y bracket to get
H^2 = (19.44)/(Y-.96)
then square root each side to get H to equal:
plus or minues square root of (19.44)/(Y-.96)

Answer 4

I don't see an equal sign... or an equation. If you can set that expression equal to something I'm positive you'll get help!

Answer 5

You have no equation- what is this equal to?