Solve b^3 = 1/2( b - 4) - Socratic AI (ScanMath)

Evaluate

b^{3} = \frac{1}{2} (b - 4)

Multiply the terms

More Steps

b^{3} = \frac{1}{2} b - 2

Move the expression to the left side

b^{3} - (\frac{1}{2} b - 2) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

b^{3} - \frac{1}{2} b + 2 = 0

Factor the expression

\frac{1}{2} (2 b^{3} - b + 4) = 0

Divide both sides

2 b^{3} - b + 4 = 0

Calculate

b \approx - 1.391769 b \approx 0.695884 + 0.976097 i b \approx 0.695884 - 0.976097 i

Solution

b_{1} \approx 0.695884 - 0.976097 i, b_{2} \approx 0.695884 + 0.976097 i, b_{3} \approx - 1.391769

B^3 = 1/2( b 4)

Solve the equation(The real numbers system)

Solve the equation(The complex numbers system)

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