Solve 3t^2 2t-1 - ScanMath

Question

Simplify the expression

6 t^{3} - 1

Evaluate

3 t^{2} \times 2 t - 1

Solution

More Steps

Evaluate

3 t^{2} \times 2 t

Multiply the terms

6 t^{2} \times t

Multiply the terms with the same base by adding their exponents

6 t^{2 + 1}

Add the numbers

6 t^{3}

6 t^{3} - 1

Show Solution

t = \frac{3 36}{6}

Alternative Form

t \approx 0.550321

Evaluate

3 t^{2} \times 2 t - 1

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

3 t^{2} \times 2 t - 1 = 0

Multiply

More Steps

Multiply the terms

3 t^{2} \times 2 t

Multiply the terms

6 t^{2} \times t

Multiply the terms with the same base by adding their exponents

6 t^{2 + 1}

Add the numbers

6 t^{3}

6 t^{3} - 1 = 0

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

6 t^{3} = 0 + 1

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

6 t^{3} = 1

Divide both sides

\frac{6 t ^{3}}{6} = \frac{1}{6}

Divide the numbers

t^{3} = \frac{1}{6}

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

3 t^{3} = 3 \frac{1}{6}

Calculate

t = 3 \frac{1}{6}

Solution

More Steps

Evaluate

3 \frac{1}{6}

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

\frac{3 1}{3 6}

Simplify the radical expression

\frac{1}{3 6}

Multiply by the Conjugate

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

Simplify

\frac{3 36}{3 6 \times 3 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

36 \times 3 6^{2}

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

3 6 \times 6^{2}

Calculate the product

3 6^{3}

Reduce the index of the radical and exponent with 3

6

\frac{3 36}{6}

t = \frac{3 36}{6}

Alternative Form

t \approx 0.550321

Show Solution