Solve 3y^24y -1 - ScanMath

Question

Simplify the expression

12 y^{3} - 1

Evaluate

3 y^{2} \times 4 y - 1

Solution

More Steps

Evaluate

3 y^{2} \times 4 y

Multiply the terms

12 y^{2} \times y

Multiply the terms with the same base by adding their exponents

12 y^{2 + 1}

Add the numbers

12 y^{3}

12 y^{3} - 1

Show Solution

y = \frac{3 18}{6}

Alternative Form

y \approx 0.43679

Evaluate

3 y^{2} \times 4 y - 1

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

3 y^{2} \times 4 y - 1 = 0

Multiply

More Steps

Multiply the terms

3 y^{2} \times 4 y

Multiply the terms

12 y^{2} \times y

Multiply the terms with the same base by adding their exponents

12 y^{2 + 1}

Add the numbers

12 y^{3}

12 y^{3} - 1 = 0

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

12 y^{3} = 0 + 1

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

12 y^{3} = 1

Divide both sides

\frac{12 y ^{3}}{12} = \frac{1}{12}

Divide the numbers

y^{3} = \frac{1}{12}

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

3 y^{3} = 3 \frac{1}{12}

Calculate

y = 3 \frac{1}{12}

Solution

More Steps

Evaluate

3 \frac{1}{12}

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

\frac{3 1}{3 12}

Simplify the radical expression

\frac{1}{3 12}

Multiply by the Conjugate

\frac{3 1 2 ^{2}}{3 12 \times 3 1 2 ^{2}}

Simplify

\frac{2 3 18}{3 12 \times 3 1 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

312 \times 3 1 2^{2}

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

3 12 \times 1 2^{2}

Calculate the product

3 1 2^{3}

Reduce the index of the radical and exponent with 3

12

\frac{2 3 18}{12}

Cancel out the common factor 2

\frac{3 18}{6}

y = \frac{3 18}{6}

Alternative Form

y \approx 0.43679

Show Solution