Solve x^43x-5 - ScanMath

Question

Simplify the expression

3 x^{5} - 5

Evaluate

x^{4} \times 3 x - 5

Solution

More Steps

Evaluate

x^{4} \times 3 x

Multiply the terms with the same base by adding their exponents

x^{4 + 1} \times 3

Add the numbers

x^{5} \times 3

Use the commutative property to reorder the terms

3 x^{5}

3 x^{5} - 5

Show Solution

x = \frac{5 405}{3}

Alternative Form

x \approx 1.107566

Evaluate

x^{4} \times 3 x - 5

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

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

Multiply

More Steps

Multiply the terms

x^{4} \times 3 x

Multiply the terms with the same base by adding their exponents

x^{4 + 1} \times 3

Add the numbers

x^{5} \times 3

Use the commutative property to reorder the terms

3 x^{5}

3 x^{5} - 5 = 0

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

3 x^{5} = 0 + 5

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

3 x^{5} = 5

Divide both sides

\frac{3 x ^{5}}{3} = \frac{5}{3}

Divide the numbers

x^{5} = \frac{5}{3}

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

5 x^{5} = 5 \frac{5}{3}

Calculate

x = 5 \frac{5}{3}

Solution

More Steps

Evaluate

5 \frac{5}{3}

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

\frac{5 5}{5 3}

Multiply by the Conjugate

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

Simplify

\frac{5 5 \times 5 81}{5 3 \times 5 3 ^{4}}

Multiply the numbers

More Steps

Evaluate

55 \times 581

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

5 5 \times 81

Calculate the product

5405

\frac{5 405}{5 3 \times 5 3 ^{4}}

Multiply the numbers

More Steps

Evaluate

53 \times 5 3^{4}

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

5 3 \times 3^{4}

Calculate the product

5 3^{5}

Reduce the index of the radical and exponent with 5

3

\frac{5 405}{3}

x = \frac{5 405}{3}

Alternative Form

x \approx 1.107566

Show Solution