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Solve the Cubic Equation. -41=5(x+11)^3-1

Question

Solve the cubic equation. -41=5(x+11)^3-1

Answer

3.2 (161 Votes)
Verificación de expertos
Yancy Master · Tutor for 5 years

Answer

The solution to the equation is .

Explanation

## Step 1: First, we need to isolate the cubic term on one side of the equation. To do this, we add 1 to both sides of the equation. This gives us:### \(-41 + 1 = 5(x+11)^3 \)## Step 2: Next, we divide both sides of the equation by 5 to further isolate the cubic term. This gives us:### \( \frac{-40}{5} = (x+11)^3 \)## Step 3: Now, we take the cube root of both sides to solve for . This gives us:### ## Step 4: Finally, we subtract 11 from both sides to solve for . This gives us:###