Solve 3s=s^32 - ScanMath

Question

Solve the equation

s_{1} = - \frac{6}{2}, s_{2} = 0, s_{3} = \frac{6}{2}

Alternative Form

s_{1} \approx - 1.224745, s_{2} = 0, s_{3} \approx 1.224745

Evaluate

3 s = s^{3} \times 2

Use the commutative property to reorder the terms

3 s = 2 s^{3}

Add or subtract both sides

3 s - 2 s^{3} = 0

Factor the expression

s (3 - 2 s^{2}) = 0

Separate the equation into 2 possible cases

s = 0 3 - 2 s^{2} = 0

Solve the equation

More Steps

Evaluate

3 - 2 s^{2} = 0

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

- 2 s^{2} = 0 - 3

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

- 2 s^{2} = - 3

Change the signs on both sides of the equation

2 s^{2} = 3

Divide both sides

\frac{2 s ^{2}}{2} = \frac{3}{2}

Divide the numbers

s^{2} = \frac{3}{2}

Take the root of both sides of the equation and remember to use both positive and negative roots

s = \pm \frac{3}{2}

Simplify the expression

More Steps

Evaluate

\frac{3}{2}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3}{2}

Multiply by the Conjugate

\frac{3 \times 2}{2 \times 2}

Multiply the numbers

\frac{6}{2 \times 2}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{6}{2}

s = \pm \frac{6}{2}

Separate the equation into 2 possible cases

s = \frac{6}{2} s = - \frac{6}{2}

s = 0 s = \frac{6}{2} s = - \frac{6}{2}

Solution

s_{1} = - \frac{6}{2}, s_{2} = 0, s_{3} = \frac{6}{2}

Alternative Form

s_{1} \approx - 1.224745, s_{2} = 0, s_{3} \approx 1.224745

Show Solution