Solve -33+J^35+J^3

Question

Simplify the expression

- 33 + 6 J^{3}

Evaluate

- 33 + J^{3} \times 5 + J^{3}

Use the commutative property to reorder the terms

- 33 + 5 J^{3} + J^{3}

Solution

More Steps

Evaluate

5 J^{3} + J^{3}

Collect like terms by calculating the sum or difference of their coefficients

(5 + 1) J^{3}

Add the numbers

6 J^{3}

- 33 + 6 J^{3}

Show Solution

Factor the expression

- 3 (11 - 2 J^{3})

Evaluate

- 33 + J^{3} \times 5 + J^{3}

Use the commutative property to reorder the terms

- 33 + 5 J^{3} + J^{3}

Add the terms

More Steps

Evaluate

5 J^{3} + J^{3}

Collect like terms by calculating the sum or difference of their coefficients

(5 + 1) J^{3}

Add the numbers

6 J^{3}

- 33 + 6 J^{3}

Solution

- 3 (11 - 2 J^{3})

Show Solution

Find the roots

J = \frac{3 44}{2}

Alternative Form

J \approx 1.765174

Evaluate

- 33 + J^{3} \times 5 + J^{3}

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

- 33 + J^{3} \times 5 + J^{3} = 0

Use the commutative property to reorder the terms

- 33 + 5 J^{3} + J^{3} = 0

Add the terms

More Steps

Evaluate

- 33 + 5 J^{3} + J^{3}

Add the terms

More Steps

Evaluate

5 J^{3} + J^{3}

Collect like terms by calculating the sum or difference of their coefficients

(5 + 1) J^{3}

Add the numbers

6 J^{3}

- 33 + 6 J^{3}

- 33 + 6 J^{3} = 0

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

6 J^{3} = 0 + 33

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

6 J^{3} = 33

Divide both sides

\frac{6 J ^{3}}{6} = \frac{33}{6}

Divide the numbers

J^{3} = \frac{33}{6}

Cancel out the common factor 3

J^{3} = \frac{11}{2}

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

3 J^{3} = 3 \frac{11}{2}

Calculate

J = 3 \frac{11}{2}

Solution

More Steps

Evaluate

3 \frac{11}{2}

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

\frac{3 11}{3 2}

Multiply by the Conjugate

\frac{3 11 \times 3 2 ^{2}}{3 2 \times 3 2 ^{2}}

Simplify

\frac{3 11 \times 3 4}{3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

311 \times 34

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

3 11 \times 4

Calculate the product

344

\frac{3 44}{3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 3 2^{2}

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

3 2 \times 2^{2}

Calculate the product

3 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{3 44}{2}

J = \frac{3 44}{2}

Alternative Form

J \approx 1.765174

Show Solution