Solve 3x^6 2x^3-1

Question

Simplify the expression

6 x^{9} - 1

Evaluate

3 x^{6} \times 2 x^{3} - 1

Solution

More Steps

Evaluate

3 x^{6} \times 2 x^{3}

Multiply the terms

6 x^{6} \times x^{3}

Multiply the terms with the same base by adding their exponents

6 x^{6 + 3}

Add the numbers

6 x^{9}

6 x^{9} - 1

Show Solution

x = \frac{9 6 ^{8}}{6}

Alternative Form

x \approx 0.819481

Evaluate

3 x^{6} \times 2 x^{3} - 1

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

3 x^{6} \times 2 x^{3} - 1 = 0

Multiply

More Steps

Multiply the terms

3 x^{6} \times 2 x^{3}

Multiply the terms

6 x^{6} \times x^{3}

Multiply the terms with the same base by adding their exponents

6 x^{6 + 3}

Add the numbers

6 x^{9}

6 x^{9} - 1 = 0

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

6 x^{9} = 0 + 1

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

6 x^{9} = 1

Divide both sides

\frac{6 x ^{9}}{6} = \frac{1}{6}

Divide the numbers

x^{9} = \frac{1}{6}

Take the 9 -th root on both sides of the equation

9 x^{9} = 9 \frac{1}{6}

Calculate

x = 9 \frac{1}{6}

Solution

More Steps

Evaluate

9 \frac{1}{6}

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

\frac{9 1}{9 6}

Simplify the radical expression

\frac{1}{9 6}

Multiply by the Conjugate

\frac{9 6 ^{8}}{9 6 \times 9 6 ^{8}}

Multiply the numbers

More Steps

Evaluate

96 \times 9 6^{8}

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

9 6 \times 6^{8}

Calculate the product

9 6^{9}

Reduce the index of the radical and exponent with 9

6

\frac{9 6 ^{8}}{6}

x = \frac{9 6 ^{8}}{6}

Alternative Form

x \approx 0.819481

Show Solution