Solve 1/4-20x^56 - ScanMath

Question

Simplify the expression

\frac{1}{4} - 120 x^{5}

Evaluate

\frac{1}{4} - 20 x^{5} \times 6

Solution

\frac{1}{4} - 120 x^{5}

Show Solution

\frac{1}{4} (1 - 480 x^{5})

Evaluate

\frac{1}{4} - 20 x^{5} \times 6

Multiply the terms

\frac{1}{4} - 120 x^{5}

Solution

\frac{1}{4} (1 - 480 x^{5})

Show Solution

x = \frac{5 50625}{30}

Alternative Form

x \approx 0.290905

Evaluate

\frac{1}{4} - 20 x^{5} \times 6

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

\frac{1}{4} - 20 x^{5} \times 6 = 0

Multiply the terms

\frac{1}{4} - 120 x^{5} = 0

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

- 120 x^{5} = 0 - \frac{1}{4}

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

- 120 x^{5} = - \frac{1}{4}

Change the signs on both sides of the equation

120 x^{5} = \frac{1}{4}

Multiply by the reciprocal

120 x^{5} \times \frac{1}{120} = \frac{1}{4} \times \frac{1}{120}

Multiply

x^{5} = \frac{1}{4} \times \frac{1}{120}

Multiply

More Steps

Evaluate

\frac{1}{4} \times \frac{1}{120}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1}{4 \times 120}

Multiply the numbers

\frac{1}{480}

x^{5} = \frac{1}{480}

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

5 x^{5} = 5 \frac{1}{480}

Calculate

x = 5 \frac{1}{480}

Solution

More Steps

Evaluate

5 \frac{1}{480}

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

\frac{5 1}{5 480}

Simplify the radical expression

\frac{1}{5 480}

Simplify the radical expression

More Steps

Evaluate

5480

Write the expression as a product where the root of one of the factors can be evaluated

5 32 \times 15

Write the number in exponential form with the base of 2

5 2^{5} \times 15

The root of a product is equal to the product of the roots of each factor

5 2^{5} \times 515

Reduce the index of the radical and exponent with 5

2515

\frac{1}{2 5 15}

Multiply by the Conjugate

\frac{5 1 5 ^{4}}{2 5 15 \times 5 1 5 ^{4}}

Simplify

\frac{5 50625}{2 5 15 \times 5 1 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

2515 \times 5 1 5^{4}

Multiply the terms

2 \times 15

Multiply the terms

30

\frac{5 50625}{30}

x = \frac{5 50625}{30}

Alternative Form

x \approx 0.290905

Show Solution