Solve t^2 3t-4 - ScanMath

Question

Simplify the expression

3 t^{3} - 4

Evaluate

t^{2} \times 3 t - 4

Solution

More Steps

Evaluate

t^{2} \times 3 t

Multiply the terms with the same base by adding their exponents

t^{2 + 1} \times 3

Add the numbers

t^{3} \times 3

Use the commutative property to reorder the terms

3 t^{3}

3 t^{3} - 4

Show Solution

t = \frac{3 36}{3}

Alternative Form

t \approx 1.100642

Evaluate

t^{2} \times 3 t - 4

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

t^{2} \times 3 t - 4 = 0

Multiply

More Steps

Multiply the terms

t^{2} \times 3 t

Multiply the terms with the same base by adding their exponents

t^{2 + 1} \times 3

Add the numbers

t^{3} \times 3

Use the commutative property to reorder the terms

3 t^{3}

3 t^{3} - 4 = 0

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

3 t^{3} = 0 + 4

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

3 t^{3} = 4

Divide both sides

\frac{3 t ^{3}}{3} = \frac{4}{3}

Divide the numbers

t^{3} = \frac{4}{3}

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

3 t^{3} = 3 \frac{4}{3}

Calculate

t = 3 \frac{4}{3}

Solution

More Steps

Evaluate

3 \frac{4}{3}

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

\frac{3 4}{3 3}

Multiply by the Conjugate

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

Simplify

\frac{3 4 \times 3 9}{3 3 \times 3 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

34 \times 39

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

3 4 \times 9

Calculate the product

336

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

Multiply the numbers

More Steps

Evaluate

33 \times 3 3^{2}

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

3 3 \times 3^{2}

Calculate the product

3 3^{3}

Reduce the index of the radical and exponent with 3

3

\frac{3 36}{3}

t = \frac{3 36}{3}

Alternative Form

t \approx 1.100642

Show Solution