Solve y^24y-1088 - ScanMath

Question

Simplify the expression

4 y^{3} - 1088

Evaluate

y^{2} \times 4 y - 1088

Solution

More Steps

Evaluate

y^{2} \times 4 y

Multiply the terms with the same base by adding their exponents

y^{2 + 1} \times 4

Add the numbers

y^{3} \times 4

Use the commutative property to reorder the terms

4 y^{3}

4 y^{3} - 1088

Show Solution

4 (y^{3} - 272)

Evaluate

y^{2} \times 4 y - 1088

Multiply

More Steps

Evaluate

y^{2} \times 4 y

Multiply the terms with the same base by adding their exponents

y^{2 + 1} \times 4

Add the numbers

y^{3} \times 4

Use the commutative property to reorder the terms

4 y^{3}

4 y^{3} - 1088

Solution

4 (y^{3} - 272)

Show Solution

y = 2334

Alternative Form

y \approx 6.479224

Evaluate

y^{2} \times 4 y - 1088

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

y^{2} \times 4 y - 1088 = 0

Multiply

More Steps

Multiply the terms

y^{2} \times 4 y

Multiply the terms with the same base by adding their exponents

y^{2 + 1} \times 4

Add the numbers

y^{3} \times 4

Use the commutative property to reorder the terms

4 y^{3}

4 y^{3} - 1088 = 0

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

4 y^{3} = 0 + 1088

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

4 y^{3} = 1088

Divide both sides

\frac{4 y ^{3}}{4} = \frac{1088}{4}

Divide the numbers

y^{3} = \frac{1088}{4}

Divide the numbers

More Steps

Evaluate

\frac{1088}{4}

Reduce the numbers

\frac{272}{1}

Calculate

272

y^{3} = 272

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

3 y^{3} = 3272

Calculate

y = 3272

Solution

More Steps

Evaluate

3272

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

3 8 \times 34

Write the number in exponential form with the base of 2

3 2^{3} \times 34

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

3 2^{3} \times 334

Reduce the index of the radical and exponent with 3

2334

y = 2334

Alternative Form

y \approx 6.479224

Show Solution