Solve 4x-83x^6 - ScanMath

Question

Factor the expression

x (4 - 83 x^{5})

Evaluate

4 x - 83 x^{6}

Rewrite the expression

x \times 4 - x \times 83 x^{5}

Solution

x (4 - 83 x^{5})

Show Solution

x_{1} = 0, x_{2} = \frac{5 4 \times 8 3 ^{4}}{83}

Alternative Form

x_{1} = 0, x_{2} \approx 0.545251

Evaluate

4 x - 83 x^{6}

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

4 x - 83 x^{6} = 0

Factor the expression

x (4 - 83 x^{5}) = 0

Separate the equation into 2 possible cases

x = 0 4 - 83 x^{5} = 0

Solve the equation

More Steps

Evaluate

4 - 83 x^{5} = 0

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

- 83 x^{5} = 0 - 4

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

- 83 x^{5} = - 4

Change the signs on both sides of the equation

83 x^{5} = 4

Divide both sides

\frac{83 x ^{5}}{83} = \frac{4}{83}

Divide the numbers

x^{5} = \frac{4}{83}

Take the 5 -th root on both sides of the equation

5 x^{5} = 5 \frac{4}{83}

Calculate

x = 5 \frac{4}{83}

Simplify the root

More Steps

Evaluate

5 \frac{4}{83}

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

\frac{5 4}{5 83}

Multiply by the Conjugate

\frac{5 4 \times 5 8 3 ^{4}}{5 83 \times 5 8 3 ^{4}}

The product of roots with the same index is equal to the root of the product

\frac{5 4 \times 8 3 ^{4}}{5 83 \times 5 8 3 ^{4}}

Multiply the numbers

\frac{5 4 \times 8 3 ^{4}}{83}

x = \frac{5 4 \times 8 3 ^{4}}{83}

x = 0 x = \frac{5 4 \times 8 3 ^{4}}{83}

Solution

x_{1} = 0, x_{2} = \frac{5 4 \times 8 3 ^{4}}{83}

Alternative Form

x_{1} = 0, x_{2} \approx 0.545251

Show Solution