Solve 1/2(x^2) x-2 - Socratic AI (ScanMath)

Question

Simplify the expression

\frac{1}{2} x^{3} - 2

Evaluate

\frac{1}{2} x^{2} \times x - 2

Solution

More Steps

Evaluate

\frac{1}{2} x^{2} \times x

Multiply the terms with the same base by adding their exponents

\frac{1}{2} x^{2 + 1}

Add the numbers

\frac{1}{2} x^{3}

\frac{1}{2} x^{3} - 2

Show Solution

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

Evaluate

\frac{1}{2} x^{2} \times x - 2

Multiply

More Steps

Evaluate

\frac{1}{2} x^{2} \times x

Multiply the terms with the same base by adding their exponents

\frac{1}{2} x^{2 + 1}

Add the numbers

\frac{1}{2} x^{3}

\frac{1}{2} x^{3} - 2

Solution

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

Show Solution

x = 34

Alternative Form

x \approx 1.587401

Evaluate

\frac{1}{2} (x^{2}) x - 2

To find the roots of the expression,set the expression equal to 0

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

Calculate

\frac{1}{2} x^{2} \times x - 2 = 0

Multiply

More Steps

Multiply the terms

\frac{1}{2} x^{2} \times x

Multiply the terms with the same base by adding their exponents

\frac{1}{2} x^{2 + 1}

Add the numbers

\frac{1}{2} x^{3}

\frac{1}{2} x^{3} - 2 = 0

Move the constant to the right-hand side and change its sign

\frac{1}{2} x^{3} = 0 + 2

Removing 0 doesn't change the value,so remove it from the expression

\frac{1}{2} x^{3} = 2

Multiply by the reciprocal

\frac{1}{2} x^{3} \times 2 = 2 \times 2

Multiply

x^{3} = 2 \times 2

Multiply

x^{3} = 4

Take the 3 -th root on both sides of the equation

3 x^{3} = 34

Solution

x = 34

Alternative Form

x \approx 1.587401

Show Solution