Solve dd^5004-84 - ScanMath

Question

Simplify the expression

4 d^{6} - 84

Evaluate

d \times d^{5} \times 4 - 84

Solution

More Steps

Evaluate

d \times d^{5} \times 4

Multiply the terms with the same base by adding their exponents

d^{1 + 5} \times 4

Add the numbers

d^{6} \times 4

Use the commutative property to reorder the terms

4 d^{6}

4 d^{6} - 84

Show Solution

4 (d^{6} - 21)

Evaluate

d \times d^{5} \times 4 - 84

Multiply

More Steps

Evaluate

d \times d^{5} \times 4

Multiply the terms with the same base by adding their exponents

d^{1 + 5} \times 4

Add the numbers

d^{6} \times 4

Use the commutative property to reorder the terms

4 d^{6}

4 d^{6} - 84

Solution

4 (d^{6} - 21)

Show Solution

d_{1} = - 621, d_{2} = 621

Alternative Form

d_{1} \approx - 1.661001, d_{2} \approx 1.661001

Evaluate

d \times d^{5} \times 4 - 84

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

d \times d^{5} \times 4 - 84 = 0

Multiply

More Steps

Multiply the terms

d \times d^{5} \times 4

Multiply the terms with the same base by adding their exponents

d^{1 + 5} \times 4

Add the numbers

d^{6} \times 4

Use the commutative property to reorder the terms

4 d^{6}

4 d^{6} - 84 = 0

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

4 d^{6} = 0 + 84

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

4 d^{6} = 84

Divide both sides

\frac{4 d ^{6}}{4} = \frac{84}{4}

Divide the numbers

d^{6} = \frac{84}{4}

Divide the numbers

More Steps

Evaluate

\frac{84}{4}

Reduce the numbers

\frac{21}{1}

Calculate

21

d^{6} = 21

Take the root of both sides of the equation and remember to use both positive and negative roots

d = \pm 621

Separate the equation into 2 possible cases

d = 621 d = - 621

Solution

d_{1} = - 621, d_{2} = 621

Alternative Form

d_{1} \approx - 1.661001, d_{2} \approx 1.661001

Show Solution