Solve dd^3867-10 - ScanMath

Question

Simplify the expression

867 d^{4} - 10

Evaluate

d \times d^{3} \times 867 - 10

Solution

More Steps

Evaluate

d \times d^{3} \times 867

Multiply the terms with the same base by adding their exponents

d^{1 + 3} \times 867

Add the numbers

d^{4} \times 867

Use the commutative property to reorder the terms

867 d^{4}

867 d^{4} - 10

Show Solution

d_{1} = - \frac{4 10 \times 86 7 ^{3}}{867}, d_{2} = \frac{4 10 \times 86 7 ^{3}}{867}

Alternative Form

d_{1} \approx - 0.327714, d_{2} \approx 0.327714

Evaluate

d \times d^{3} \times 867 - 10

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

d \times d^{3} \times 867 - 10 = 0

Multiply

More Steps

Multiply the terms

d \times d^{3} \times 867

Multiply the terms with the same base by adding their exponents

d^{1 + 3} \times 867

Add the numbers

d^{4} \times 867

Use the commutative property to reorder the terms

867 d^{4}

867 d^{4} - 10 = 0

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

867 d^{4} = 0 + 10

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

867 d^{4} = 10

Divide both sides

\frac{867 d ^{4}}{867} = \frac{10}{867}

Divide the numbers

d^{4} = \frac{10}{867}

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

d = \pm 4 \frac{10}{867}

Simplify the expression

More Steps

Evaluate

4 \frac{10}{867}

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

\frac{4 10}{4 867}

Multiply by the Conjugate

\frac{4 10 \times 4 86 7 ^{3}}{4 867 \times 4 86 7 ^{3}}

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

\frac{4 10 \times 86 7 ^{3}}{4 867 \times 4 86 7 ^{3}}

Multiply the numbers

More Steps

Evaluate

4867 \times 4 86 7^{3}

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

4 867 \times 86 7^{3}

Calculate the product

4 86 7^{4}

Reduce the index of the radical and exponent with 4

867

\frac{4 10 \times 86 7 ^{3}}{867}

d = \pm \frac{4 10 \times 86 7 ^{3}}{867}

Separate the equation into 2 possible cases

d = \frac{4 10 \times 86 7 ^{3}}{867} d = - \frac{4 10 \times 86 7 ^{3}}{867}

Solution

d_{1} = - \frac{4 10 \times 86 7 ^{3}}{867}, d_{2} = \frac{4 10 \times 86 7 ^{3}}{867}

Alternative Form

d_{1} \approx - 0.327714, d_{2} \approx 0.327714

Show Solution