Solve d^4644-1 - ScanMath

Question

Simplify the expression

644 d^{4} - 1

Evaluate

d^{4} \times 644 - 1

Solution

644 d^{4} - 1

Show Solution

d_{1} = - \frac{4 64 4 ^{3}}{644}, d_{2} = \frac{4 64 4 ^{3}}{644}

Alternative Form

d_{1} \approx - 0.198508, d_{2} \approx 0.198508

Evaluate

d^{4} \times 644 - 1

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

d^{4} \times 644 - 1 = 0

Use the commutative property to reorder the terms

644 d^{4} - 1 = 0

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

644 d^{4} = 0 + 1

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

644 d^{4} = 1

Divide both sides

\frac{644 d ^{4}}{644} = \frac{1}{644}

Divide the numbers

d^{4} = \frac{1}{644}

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

d = \pm 4 \frac{1}{644}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{644}

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

\frac{4 1}{4 644}

Simplify the radical expression

\frac{1}{4 644}

Multiply by the Conjugate

\frac{4 64 4 ^{3}}{4 644 \times 4 64 4 ^{3}}

Multiply the numbers

More Steps

Evaluate

4644 \times 4 64 4^{3}

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

4 644 \times 64 4^{3}

Calculate the product

4 64 4^{4}

Reduce the index of the radical and exponent with 4

644

\frac{4 64 4 ^{3}}{644}

d = \pm \frac{4 64 4 ^{3}}{644}

Separate the equation into 2 possible cases

d = \frac{4 64 4 ^{3}}{644} d = - \frac{4 64 4 ^{3}}{644}

Solution

d_{1} = - \frac{4 64 4 ^{3}}{644}, d_{2} = \frac{4 64 4 ^{3}}{644}

Alternative Form

d_{1} \approx - 0.198508, d_{2} \approx 0.198508

Show Solution