Solve 3x^42x-5 - ScanMath

Question

Simplify the expression

6 x^{5} - 5

Evaluate

3 x^{4} \times 2 x - 5

Solution

More Steps

Evaluate

3 x^{4} \times 2 x

Multiply the terms

6 x^{4} \times x

Multiply the terms with the same base by adding their exponents

6 x^{4 + 1}

Add the numbers

6 x^{5}

6 x^{5} - 5

Show Solution

x = \frac{5 6480}{6}

Alternative Form

x \approx 0.964193

Evaluate

3 x^{4} \times 2 x - 5

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

3 x^{4} \times 2 x - 5 = 0

Multiply

More Steps

Multiply the terms

3 x^{4} \times 2 x

Multiply the terms

6 x^{4} \times x

Multiply the terms with the same base by adding their exponents

6 x^{4 + 1}

Add the numbers

6 x^{5}

6 x^{5} - 5 = 0

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

6 x^{5} = 0 + 5

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

6 x^{5} = 5

Divide both sides

\frac{6 x ^{5}}{6} = \frac{5}{6}

Divide the numbers

x^{5} = \frac{5}{6}

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

5 x^{5} = 5 \frac{5}{6}

Calculate

x = 5 \frac{5}{6}

Solution

More Steps

Evaluate

5 \frac{5}{6}

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

\frac{5 5}{5 6}

Multiply by the Conjugate

\frac{5 5 \times 5 6 ^{4}}{5 6 \times 5 6 ^{4}}

Simplify

\frac{5 5 \times 5 1296}{5 6 \times 5 6 ^{4}}

Multiply the numbers

More Steps

Evaluate

55 \times 51296

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

5 5 \times 1296

Calculate the product

56480

\frac{5 6480}{5 6 \times 5 6 ^{4}}

Multiply the numbers

More Steps

Evaluate

56 \times 5 6^{4}

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

5 6 \times 6^{4}

Calculate the product

5 6^{5}

Reduce the index of the radical and exponent with 5

6

\frac{5 6480}{6}

x = \frac{5 6480}{6}

Alternative Form

x \approx 0.964193

Show Solution