Solve 6-3x^54 - ScanMath

Question

Simplify the expression

6 - 12 x^{5}

Evaluate

6 - 3 x^{5} \times 4

Solution

6 - 12 x^{5}

Show Solution

6 (1 - 2 x^{5})

Evaluate

6 - 3 x^{5} \times 4

Multiply the terms

6 - 12 x^{5}

Solution

6 (1 - 2 x^{5})

Show Solution

x = \frac{5 16}{2}

Alternative Form

x \approx 0.870551

Evaluate

6 - 3 x^{5} \times 4

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

6 - 3 x^{5} \times 4 = 0

Multiply the terms

6 - 12 x^{5} = 0

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

- 12 x^{5} = 0 - 6

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

- 12 x^{5} = - 6

Change the signs on both sides of the equation

12 x^{5} = 6

Divide both sides

\frac{12 x ^{5}}{12} = \frac{6}{12}

Divide the numbers

x^{5} = \frac{6}{12}

Cancel out the common factor 6

x^{5} = \frac{1}{2}

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

5 x^{5} = 5 \frac{1}{2}

Calculate

x = 5 \frac{1}{2}

Solution

More Steps

Evaluate

5 \frac{1}{2}

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

\frac{5 1}{5 2}

Simplify the radical expression

\frac{1}{5 2}

Multiply by the Conjugate

\frac{5 2 ^{4}}{5 2 \times 5 2 ^{4}}

Simplify

\frac{5 16}{5 2 \times 5 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

52 \times 5 2^{4}

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

5 2 \times 2^{4}

Calculate the product

5 2^{5}

Reduce the index of the radical and exponent with 5

2

\frac{5 16}{2}

x = \frac{5 16}{2}

Alternative Form

x \approx 0.870551

Show Solution