Solve 103x=4x^5 - ScanMath

Question

Solve the equation

x_{1} = - \frac{4 412}{2}, x_{2} = 0, x_{3} = \frac{4 412}{2}

Alternative Form

x_{1} \approx - 2.252653, x_{2} = 0, x_{3} \approx 2.252653

Evaluate

103 x = 4 x^{5}

Add or subtract both sides

103 x - 4 x^{5} = 0

Factor the expression

x (103 - 4 x^{4}) = 0

Separate the equation into 2 possible cases

x = 0 103 - 4 x^{4} = 0

Solve the equation

More Steps

Evaluate

103 - 4 x^{4} = 0

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

- 4 x^{4} = 0 - 103

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

- 4 x^{4} = - 103

Change the signs on both sides of the equation

4 x^{4} = 103

Divide both sides

\frac{4 x ^{4}}{4} = \frac{103}{4}

Divide the numbers

x^{4} = \frac{103}{4}

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

x = \pm 4 \frac{103}{4}

Simplify the expression

More Steps

Evaluate

4 \frac{103}{4}

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

\frac{4 103}{4 4}

Simplify the radical expression

\frac{4 103}{2}

Multiply by the Conjugate

\frac{4 103 \times 2}{2 \times 2}

Multiply the numbers

\frac{4 412}{2 \times 2}

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

\frac{4 412}{2}

x = \pm \frac{4 412}{2}

Separate the equation into 2 possible cases

x = \frac{4 412}{2} x = - \frac{4 412}{2}

x = 0 x = \frac{4 412}{2} x = - \frac{4 412}{2}

Solution

x_{1} = - \frac{4 412}{2}, x_{2} = 0, x_{3} = \frac{4 412}{2}

Alternative Form

x_{1} \approx - 2.252653, x_{2} = 0, x_{3} \approx 2.252653

Show Solution