Solve 3x15-4x^51 - ScanMath

Question

Simplify the expression

45 x - 4 x^{5}

Evaluate

3 x \times 15 - 4 x^{5} \times 1

Multiply the terms

45 x - 4 x^{5} \times 1

Solution

45 x - 4 x^{5}

Show Solution

x (45 - 4 x^{4})

Evaluate

3 x \times 15 - 4 x^{5} \times 1

Multiply the terms

45 x - 4 x^{5} \times 1

Multiply the terms

45 x - 4 x^{5}

Rewrite the expression

x \times 45 - x \times 4 x^{4}

Solution

x (45 - 4 x^{4})

Show Solution

x_{1} = - \frac{4 180}{2}, x_{2} = 0, x_{3} = \frac{4 180}{2}

Alternative Form

x_{1} \approx - 1.831421, x_{2} = 0, x_{3} \approx 1.831421

Evaluate

3 x \times 15 - 4 x^{5} \times 1

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

3 x \times 15 - 4 x^{5} \times 1 = 0

Multiply the terms

45 x - 4 x^{5} \times 1 = 0

Multiply the terms

45 x - 4 x^{5} = 0

Factor the expression

x (45 - 4 x^{4}) = 0

Separate the equation into 2 possible cases

x = 0 45 - 4 x^{4} = 0

Solve the equation

More Steps

Evaluate

45 - 4 x^{4} = 0

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

- 4 x^{4} = 0 - 45

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

- 4 x^{4} = - 45

Change the signs on both sides of the equation

4 x^{4} = 45

Divide both sides

\frac{4 x ^{4}}{4} = \frac{45}{4}

Divide the numbers

x^{4} = \frac{45}{4}

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

x = \pm 4 \frac{45}{4}

Simplify the expression

More Steps

Evaluate

4 \frac{45}{4}

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

\frac{4 45}{4 4}

Simplify the radical expression

\frac{4 45}{2}

Multiply by the Conjugate

\frac{4 45 \times 2}{2 \times 2}

Multiply the numbers

\frac{4 180}{2 \times 2}

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

\frac{4 180}{2}

x = \pm \frac{4 180}{2}

Separate the equation into 2 possible cases

x = \frac{4 180}{2} x = - \frac{4 180}{2}

x = 0 x = \frac{4 180}{2} x = - \frac{4 180}{2}

Solution

x_{1} = - \frac{4 180}{2}, x_{2} = 0, x_{3} = \frac{4 180}{2}

Alternative Form

x_{1} \approx - 1.831421, x_{2} = 0, x_{3} \approx 1.831421

Show Solution