Solve j^32052-1 - ScanMath

Question

Simplify the expression

2052 j^{3} - 1

Evaluate

j^{3} \times 2052 - 1

Solution

2052 j^{3} - 1

Show Solution

j = \frac{3 722}{114}

Alternative Form

j \approx 0.078694

Evaluate

j^{3} \times 2052 - 1

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

j^{3} \times 2052 - 1 = 0

Use the commutative property to reorder the terms

2052 j^{3} - 1 = 0

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

2052 j^{3} = 0 + 1

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

2052 j^{3} = 1

Divide both sides

\frac{2052 j ^{3}}{2052} = \frac{1}{2052}

Divide the numbers

j^{3} = \frac{1}{2052}

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

3 j^{3} = 3 \frac{1}{2052}

Calculate

j = 3 \frac{1}{2052}

Solution

More Steps

Evaluate

3 \frac{1}{2052}

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

\frac{3 1}{3 2052}

Simplify the radical expression

\frac{1}{3 2052}

Simplify the radical expression

More Steps

Evaluate

32052

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

3 27 \times 76

Write the number in exponential form with the base of 3

3 3^{3} \times 76

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

3 3^{3} \times 376

Reduce the index of the radical and exponent with 3

3376

\frac{1}{3 3 76}

Multiply by the Conjugate

\frac{3 7 6 ^{2}}{3 3 76 \times 3 7 6 ^{2}}

Simplify

\frac{2 3 722}{3 3 76 \times 3 7 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

3376 \times 3 7 6^{2}

Multiply the terms

3 \times 76

Multiply the terms

228

\frac{2 3 722}{228}

Cancel out the common factor 2

\frac{3 722}{114}

j = \frac{3 722}{114}

Alternative Form

j \approx 0.078694

Show Solution