Solve dd^5941-394

Question

Simplify the expression

941 d^{6} - 394

Evaluate

d \times d^{5} \times 941 - 394

Solution

More Steps

Evaluate

d \times d^{5} \times 941

Multiply the terms with the same base by adding their exponents

d^{1 + 5} \times 941

Add the numbers

d^{6} \times 941

Use the commutative property to reorder the terms

941 d^{6}

941 d^{6} - 394

Show Solution

d_{1} = - \frac{6 394 \times 94 1 ^{5}}{941}, d_{2} = \frac{6 394 \times 94 1 ^{5}}{941}

Alternative Form

d_{1} \approx - 0.864937, d_{2} \approx 0.864937

Evaluate

d \times d^{5} \times 941 - 394

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

d \times d^{5} \times 941 - 394 = 0

Multiply

More Steps

Multiply the terms

d \times d^{5} \times 941

Multiply the terms with the same base by adding their exponents

d^{1 + 5} \times 941

Add the numbers

d^{6} \times 941

Use the commutative property to reorder the terms

941 d^{6}

941 d^{6} - 394 = 0

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

941 d^{6} = 0 + 394

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

941 d^{6} = 394

Divide both sides

\frac{941 d ^{6}}{941} = \frac{394}{941}

Divide the numbers

d^{6} = \frac{394}{941}

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

d = \pm 6 \frac{394}{941}

Simplify the expression

More Steps

Evaluate

6 \frac{394}{941}

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

\frac{6 394}{6 941}

Multiply by the Conjugate

\frac{6 394 \times 6 94 1 ^{5}}{6 941 \times 6 94 1 ^{5}}

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

\frac{6 394 \times 94 1 ^{5}}{6 941 \times 6 94 1 ^{5}}

Multiply the numbers

More Steps

Evaluate

6941 \times 6 94 1^{5}

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

6 941 \times 94 1^{5}

Calculate the product

6 94 1^{6}

Reduce the index of the radical and exponent with 6

941

\frac{6 394 \times 94 1 ^{5}}{941}

d = \pm \frac{6 394 \times 94 1 ^{5}}{941}

Separate the equation into 2 possible cases

d = \frac{6 394 \times 94 1 ^{5}}{941} d = - \frac{6 394 \times 94 1 ^{5}}{941}

Solution

d_{1} = - \frac{6 394 \times 94 1 ^{5}}{941}, d_{2} = \frac{6 394 \times 94 1 ^{5}}{941}

Alternative Form

d_{1} \approx - 0.864937, d_{2} \approx 0.864937

Show Solution