Solve 5257-300020x^355

Question

Simplify the expression

5257 - 16501100 x^{3}

Evaluate

5257 - 300020 x^{3} \times 55

Solution

5257 - 16501100 x^{3}

Show Solution

7 (751 - 2357300 x^{3})

Evaluate

5257 - 300020 x^{3} \times 55

Multiply the terms

5257 - 16501100 x^{3}

Solution

7 (751 - 2357300 x^{3})

Show Solution

x = \frac{3 751 \times 235730 0 ^{2}}{2357300}

Alternative Form

x \approx 0.068298

Evaluate

5257 - 300020 x^{3} \times 55

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

5257 - 300020 x^{3} \times 55 = 0

Multiply the terms

5257 - 16501100 x^{3} = 0

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

- 16501100 x^{3} = 0 - 5257

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

- 16501100 x^{3} = - 5257

Change the signs on both sides of the equation

16501100 x^{3} = 5257

Divide both sides

\frac{16501100 x ^{3}}{16501100} = \frac{5257}{16501100}

Divide the numbers

x^{3} = \frac{5257}{16501100}

Cancel out the common factor 7

x^{3} = \frac{751}{2357300}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 \frac{751}{2357300}

Calculate

x = 3 \frac{751}{2357300}

Solution

More Steps

Evaluate

3 \frac{751}{2357300}

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

\frac{3 751}{3 2357300}

Multiply by the Conjugate

\frac{3 751 \times 3 235730 0 ^{2}}{3 2357300 \times 3 235730 0 ^{2}}

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

\frac{3 751 \times 235730 0 ^{2}}{3 2357300 \times 3 235730 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

32357300 \times 3 235730 0^{2}

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

3 2357300 \times 235730 0^{2}

Calculate the product

3 235730 0^{3}

Reduce the index of the radical and exponent with 3

2357300

\frac{3 751 \times 235730 0 ^{2}}{2357300}

x = \frac{3 751 \times 235730 0 ^{2}}{2357300}

Alternative Form

x \approx 0.068298

Show Solution