Solve 3x^6 x^3-4 - ScanMath

Question

Simplify the expression

3 x^{9} - 4

Evaluate

3 x^{6} \times x^{3} - 4

Solution

More Steps

Evaluate

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

Multiply the terms with the same base by adding their exponents

3 x^{6 + 3}

Add the numbers

3 x^{9}

3 x^{9} - 4

Show Solution

x = \frac{9 26244}{3}

Alternative Form

x \approx 1.032481

Evaluate

3 x^{6} \times x^{3} - 4

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

3 x^{6} \times x^{3} - 4 = 0

Multiply

More Steps

Multiply the terms

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

Multiply the terms with the same base by adding their exponents

3 x^{6 + 3}

Add the numbers

3 x^{9}

3 x^{9} - 4 = 0

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

3 x^{9} = 0 + 4

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

3 x^{9} = 4

Divide both sides

\frac{3 x ^{9}}{3} = \frac{4}{3}

Divide the numbers

x^{9} = \frac{4}{3}

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

9 x^{9} = 9 \frac{4}{3}

Calculate

x = 9 \frac{4}{3}

Solution

More Steps

Evaluate

9 \frac{4}{3}

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

\frac{9 4}{9 3}

Multiply by the Conjugate

\frac{9 4 \times 9 3 ^{8}}{9 3 \times 9 3 ^{8}}

Simplify

\frac{9 4 \times 9 6561}{9 3 \times 9 3 ^{8}}

Multiply the numbers

More Steps

Evaluate

94 \times 96561

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

9 4 \times 6561

Calculate the product

926244

\frac{9 26244}{9 3 \times 9 3 ^{8}}

Multiply the numbers

More Steps

Evaluate

93 \times 9 3^{8}

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

9 3 \times 3^{8}

Calculate the product

9 3^{9}

Reduce the index of the radical and exponent with 9

3

\frac{9 26244}{3}

x = \frac{9 26244}{3}

Alternative Form

x \approx 1.032481

Show Solution