Solve 3x-49x^3 - ScanMath

Question

Factor the expression

x (3 - 49 x^{2})

Evaluate

3 x - 49 x^{3}

Rewrite the expression

x \times 3 - x \times 49 x^{2}

Solution

x (3 - 49 x^{2})

Show Solution

x_{1} = - \frac{3}{7}, x_{2} = 0, x_{3} = \frac{3}{7}

Alternative Form

x_{1} \approx - 0.247436, x_{2} = 0, x_{3} \approx 0.247436

Evaluate

3 x - 49 x^{3}

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

3 x - 49 x^{3} = 0

Factor the expression

x (3 - 49 x^{2}) = 0

Separate the equation into 2 possible cases

x = 0 3 - 49 x^{2} = 0

Solve the equation

More Steps

Evaluate

3 - 49 x^{2} = 0

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

- 49 x^{2} = 0 - 3

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

- 49 x^{2} = - 3

Change the signs on both sides of the equation

49 x^{2} = 3

Divide both sides

\frac{49 x ^{2}}{49} = \frac{3}{49}

Divide the numbers

x^{2} = \frac{3}{49}

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

x = \pm \frac{3}{49}

Simplify the expression

More Steps

Evaluate

\frac{3}{49}

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

\frac{3}{49}

Simplify the radical expression

\frac{3}{7}

x = \pm \frac{3}{7}

Separate the equation into 2 possible cases

x = \frac{3}{7} x = - \frac{3}{7}

x = 0 x = \frac{3}{7} x = - \frac{3}{7}

Solution

x_{1} = - \frac{3}{7}, x_{2} = 0, x_{3} = \frac{3}{7}

Alternative Form

x_{1} \approx - 0.247436, x_{2} = 0, x_{3} \approx 0.247436

Show Solution