Solve 5x-96x^3 - Socratic AI (ScanMath)

Question

Factor the expression

x (5 - 96 x^{2})

Evaluate

5 x - 96 x^{3}

Rewrite the expression

x \times 5 - x \times 96 x^{2}

Solution

x (5 - 96 x^{2})

Show Solution

x_{1} = - \frac{30}{24}, x_{2} = 0, x_{3} = \frac{30}{24}

Alternative Form

x_{1} \approx - 0.228218, x_{2} = 0, x_{3} \approx 0.228218

Evaluate

5 x - 96 x^{3}

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

5 x - 96 x^{3} = 0

Factor the expression

x (5 - 96 x^{2}) = 0

Separate the equation into 2 possible cases

x = 0 5 - 96 x^{2} = 0

Solve the equation

More Steps

Evaluate

5 - 96 x^{2} = 0

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

- 96 x^{2} = 0 - 5

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

- 96 x^{2} = - 5

Change the signs on both sides of the equation

96 x^{2} = 5

Divide both sides

\frac{96 x ^{2}}{96} = \frac{5}{96}

Divide the numbers

x^{2} = \frac{5}{96}

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

x = \pm \frac{5}{96}

Simplify the expression

More Steps

Evaluate

\frac{5}{96}

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

\frac{5}{96}

Simplify the radical expression

\frac{5}{4 6}

Multiply by the Conjugate

\frac{5 \times 6}{4 6 \times 6}

Multiply the numbers

\frac{30}{4 6 \times 6}

Multiply the numbers

\frac{30}{24}

x = \pm \frac{30}{24}

Separate the equation into 2 possible cases

x = \frac{30}{24} x = - \frac{30}{24}

x = 0 x = \frac{30}{24} x = - \frac{30}{24}

Solution

x_{1} = - \frac{30}{24}, x_{2} = 0, x_{3} = \frac{30}{24}

Alternative Form

x_{1} \approx - 0.228218, x_{2} = 0, x_{3} \approx 0.228218

Show Solution