Solve 1032-900x^681

Question

Simplify the expression

1032 - 72900 x^{6}

Evaluate

1032 - 900 x^{6} \times 81

Solution

1032 - 72900 x^{6}

Show Solution

12 (86 - 6075 x^{6})

Evaluate

1032 - 900 x^{6} \times 81

Multiply the terms

1032 - 72900 x^{6}

Solution

12 (86 - 6075 x^{6})

Show Solution

x_{1} = - \frac{6 86 \times 607 5 ^{5}}{6075}, x_{2} = \frac{6 86 \times 607 5 ^{5}}{6075}

Alternative Form

x_{1} \approx - 0.491842, x_{2} \approx 0.491842

Evaluate

1032 - 900 x^{6} \times 81

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

1032 - 900 x^{6} \times 81 = 0

Multiply the terms

1032 - 72900 x^{6} = 0

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

- 72900 x^{6} = 0 - 1032

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

- 72900 x^{6} = - 1032

Change the signs on both sides of the equation

72900 x^{6} = 1032

Divide both sides

\frac{72900 x ^{6}}{72900} = \frac{1032}{72900}

Divide the numbers

x^{6} = \frac{1032}{72900}

Cancel out the common factor 12

x^{6} = \frac{86}{6075}

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

x = \pm 6 \frac{86}{6075}

Simplify the expression

More Steps

Evaluate

6 \frac{86}{6075}

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

\frac{6 86}{6 6075}

Multiply by the Conjugate

\frac{6 86 \times 6 607 5 ^{5}}{6 6075 \times 6 607 5 ^{5}}

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

\frac{6 86 \times 607 5 ^{5}}{6 6075 \times 6 607 5 ^{5}}

Multiply the numbers

More Steps

Evaluate

66075 \times 6 607 5^{5}

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

6 6075 \times 607 5^{5}

Calculate the product

6 607 5^{6}

Reduce the index of the radical and exponent with 6

6075

\frac{6 86 \times 607 5 ^{5}}{6075}

x = \pm \frac{6 86 \times 607 5 ^{5}}{6075}

Separate the equation into 2 possible cases

x = \frac{6 86 \times 607 5 ^{5}}{6075} x = - \frac{6 86 \times 607 5 ^{5}}{6075}

Solution

x_{1} = - \frac{6 86 \times 607 5 ^{5}}{6075}, x_{2} = \frac{6 86 \times 607 5 ^{5}}{6075}

Alternative Form

x_{1} \approx - 0.491842, x_{2} \approx 0.491842

Show Solution