1 Answer

Rakesh Sabbani · Answer 1 · 2023-01-30T06:08:52+0000

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 = -

x = 10 or x = -10

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