Question

9v2-1=-77 I need help solving this equation.

Answer 1

Given Expression

`9v^2-1=-77`

Step-By-Step Process.

________________

1. Add 1 to both sides of the equation.

`9v^2-1+1=-77+1`

________________

2. Simplify.

`9v^2=-76`

________________

3. Divide both sides by 9.

`(9v^2)/(9) =(-76)/(9)`

________________

4. Simplify.

`v^2=-(76)/(9)`

For
`x^2=f(a)` the solutions are
`x=√(f(a),) - √(f(a)) \\`.

`v=\sqrt{-(76)/(9) }, v=-\sqrt{-(76)/(9) }`

_________________

`\sqrt{-(76)/(9)}=(2√(19) )/(3)i`

`-\sqrt{-(76)/(9) } =-(2√(19) )/(3)i`

_________________

Solution:

`v=(2√(19) )/(3)i,v=-(2√(19) )/(3)i`

Hope this helps!