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____ [38]
2 years ago
12

I need an accurate answer please

Mathematics
1 answer:
kotykmax [81]2 years ago
6 0

x = –6

Solution:

Given expression is \sqrt[3]{x-2}+5=3.

Step 1: Isolate the radical by subtracting 5 from both sides of the equation.

\Rightarrow\sqrt[3]{x-2}+5-5=3-5

\Rightarrow\sqrt[3]{x-2}=-2

Step 2: Cube both sides of the equation to remove the cube root.

\Rightarrow(\sqrt[3]{x-2})^3=(-2)^3

Cube and cube root get canceled in left side of the equation.

\Rightarrow\ x-2=-8

Step 3: To solve for x.

Add 2 on both sides of the equation.

\Rightarrow\ x-2+2=-8+2

\Rightarrow\ x=-6

Hence the solution is x = –6.

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