Solve t^24t-20 - ScanMath

Question

Simplify the expression

4 t^{3} - 20

Evaluate

t^{2} \times 4 t - 20

Solution

More Steps

Evaluate

t^{2} \times 4 t

Multiply the terms with the same base by adding their exponents

t^{2 + 1} \times 4

Add the numbers

t^{3} \times 4

Use the commutative property to reorder the terms

4 t^{3}

4 t^{3} - 20

Show Solution

4 (t^{3} - 5)

Evaluate

t^{2} \times 4 t - 20

Multiply

More Steps

Evaluate

t^{2} \times 4 t

Multiply the terms with the same base by adding their exponents

t^{2 + 1} \times 4

Add the numbers

t^{3} \times 4

Use the commutative property to reorder the terms

4 t^{3}

4 t^{3} - 20

Solution

4 (t^{3} - 5)

Show Solution

t = 35

Alternative Form

t \approx 1.709976

Evaluate

t^{2} \times 4 t - 20

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

t^{2} \times 4 t - 20 = 0

Multiply

More Steps

Multiply the terms

t^{2} \times 4 t

Multiply the terms with the same base by adding their exponents

t^{2 + 1} \times 4

Add the numbers

t^{3} \times 4

Use the commutative property to reorder the terms

4 t^{3}

4 t^{3} - 20 = 0

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

4 t^{3} = 0 + 20

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

4 t^{3} = 20

Divide both sides

\frac{4 t ^{3}}{4} = \frac{20}{4}

Divide the numbers

t^{3} = \frac{20}{4}

Divide the numbers

More Steps

Evaluate

\frac{20}{4}

Reduce the numbers

\frac{5}{1}

Calculate

5

t^{3} = 5

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

3 t^{3} = 35

Solution

t = 35

Alternative Form

t \approx 1.709976

Show Solution