Question

Select all the correct answers. What are the solutions to this equation? -7+(x^2-19)^3/4=20

Answer 1

Answer:

`\huge{x = 10 , x = -10}`

Explanation:

`- 7 + ({x}^(2) - 19) {}^{ (3)/(4) } = 20`

Adid 7 to both sides

`- 7 + ({x}^(2) - 19) {}^{ (3)/(4) } + 7 = 20 + 7`

Simplify

`({x}^(2) - 19) {}^{ (3)/(4) } = 27`

take both sides of the equation to the power of 4

`({x}^(2) - 19) {}^( 3 ) = 531441`

`{x}^(2) - 19 = ∛531441`

`{x}^(2) - 19 + 19 = ∛531441 + 19`

`{x}^(2) = 100`

x =
`√(100)` or x = -
`√(100)`

x = 10 or x = -10