Solve 3x - 25x^5 - ScanMath

Question

Factor the expression

x (3 - 25 x^{4})

Evaluate

3 x - 25 x^{5}

Rewrite the expression

x \times 3 - x \times 25 x^{4}

Solution

x (3 - 25 x^{4})

Show Solution

x_{1} = - \frac{4 75}{5}, x_{2} = 0, x_{3} = \frac{4 75}{5}

Alternative Form

x_{1} \approx - 0.588566, x_{2} = 0, x_{3} \approx 0.588566

Evaluate

3 x - 25 x^{5}

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

3 x - 25 x^{5} = 0

Factor the expression

x (3 - 25 x^{4}) = 0

Separate the equation into 2 possible cases

x = 0 3 - 25 x^{4} = 0

Solve the equation

More Steps

Evaluate

3 - 25 x^{4} = 0

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

- 25 x^{4} = 0 - 3

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

- 25 x^{4} = - 3

Change the signs on both sides of the equation

25 x^{4} = 3

Divide both sides

\frac{25 x ^{4}}{25} = \frac{3}{25}

Divide the numbers

x^{4} = \frac{3}{25}

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

x = \pm 4 \frac{3}{25}

Simplify the expression

More Steps

Evaluate

4 \frac{3}{25}

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

\frac{4 3}{4 25}

Simplify the radical expression

\frac{4 3}{5}

Multiply by the Conjugate

\frac{4 3 \times 5}{5 \times 5}

Multiply the numbers

\frac{4 75}{5 \times 5}

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

\frac{4 75}{5}

x = \pm \frac{4 75}{5}

Separate the equation into 2 possible cases

x = \frac{4 75}{5} x = - \frac{4 75}{5}

x = 0 x = \frac{4 75}{5} x = - \frac{4 75}{5}

Solution

x_{1} = - \frac{4 75}{5}, x_{2} = 0, x_{3} = \frac{4 75}{5}

Alternative Form

x_{1} \approx - 0.588566, x_{2} = 0, x_{3} \approx 0.588566

Show Solution