Solve dd^5551-3 - ScanMath

Question

Simplify the expression

551 d^{6} - 3

Evaluate

d \times d^{5} \times 551 - 3

Solution

More Steps

Evaluate

d \times d^{5} \times 551

Multiply the terms with the same base by adding their exponents

d^{1 + 5} \times 551

Add the numbers

d^{6} \times 551

Use the commutative property to reorder the terms

551 d^{6}

551 d^{6} - 3

Show Solution

d_{1} = - \frac{6 3 \times 55 1 ^{5}}{551}, d_{2} = \frac{6 3 \times 55 1 ^{5}}{551}

Alternative Form

d_{1} \approx - 0.419432, d_{2} \approx 0.419432

Evaluate

d \times d^{5} \times 551 - 3

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

d \times d^{5} \times 551 - 3 = 0

Multiply

More Steps

Multiply the terms

d \times d^{5} \times 551

Multiply the terms with the same base by adding their exponents

d^{1 + 5} \times 551

Add the numbers

d^{6} \times 551

Use the commutative property to reorder the terms

551 d^{6}

551 d^{6} - 3 = 0

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

551 d^{6} = 0 + 3

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

551 d^{6} = 3

Divide both sides

\frac{551 d ^{6}}{551} = \frac{3}{551}

Divide the numbers

d^{6} = \frac{3}{551}

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

d = \pm 6 \frac{3}{551}

Simplify the expression

More Steps

Evaluate

6 \frac{3}{551}

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

\frac{6 3}{6 551}

Multiply by the Conjugate

\frac{6 3 \times 6 55 1 ^{5}}{6 551 \times 6 55 1 ^{5}}

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

\frac{6 3 \times 55 1 ^{5}}{6 551 \times 6 55 1 ^{5}}

Multiply the numbers

More Steps

Evaluate

6551 \times 6 55 1^{5}

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

6 551 \times 55 1^{5}

Calculate the product

6 55 1^{6}

Reduce the index of the radical and exponent with 6

551

\frac{6 3 \times 55 1 ^{5}}{551}

d = \pm \frac{6 3 \times 55 1 ^{5}}{551}

Separate the equation into 2 possible cases

d = \frac{6 3 \times 55 1 ^{5}}{551} d = - \frac{6 3 \times 55 1 ^{5}}{551}

Solution

d_{1} = - \frac{6 3 \times 55 1 ^{5}}{551}, d_{2} = \frac{6 3 \times 55 1 ^{5}}{551}

Alternative Form

d_{1} \approx - 0.419432, d_{2} \approx 0.419432

Show Solution