Solve d^434-56-1 - ScanMath

Question

d^{4} \times 34 - 56 - 1

Simplify the expression

34 d^{4} - 57

Evaluate

d^{4} \times 34 - 56 - 1

Use the commutative property to reorder the terms

34 d^{4} - 56 - 1

Solution

34 d^{4} - 57

Show Solution

d_{1} = - \frac{4 2240328}{34}, d_{2} = \frac{4 2240328}{34}

Alternative Form

d_{1} \approx - 1.137887, d_{2} \approx 1.137887

Evaluate

d^{4} \times 34 - 56 - 1

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

d^{4} \times 34 - 56 - 1 = 0

Use the commutative property to reorder the terms

34 d^{4} - 56 - 1 = 0

Subtract the numbers

34 d^{4} - 57 = 0

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

34 d^{4} = 0 + 57

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

34 d^{4} = 57

Divide both sides

\frac{34 d ^{4}}{34} = \frac{57}{34}

Divide the numbers

d^{4} = \frac{57}{34}

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

d = \pm 4 \frac{57}{34}

Simplify the expression

More Steps

Evaluate

4 \frac{57}{34}

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

\frac{4 57}{4 34}

Multiply by the Conjugate

\frac{4 57 \times 4 3 4 ^{3}}{4 34 \times 4 3 4 ^{3}}

Simplify

\frac{4 57 \times 4 39304}{4 34 \times 4 3 4 ^{3}}

Multiply the numbers

More Steps

Evaluate

457 \times 439304

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

4 57 \times 39304

Calculate the product

42240328

\frac{4 2240328}{4 34 \times 4 3 4 ^{3}}

Multiply the numbers

More Steps

Evaluate

434 \times 4 3 4^{3}

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

4 34 \times 3 4^{3}

Calculate the product

4 3 4^{4}

Reduce the index of the radical and exponent with 4

34

\frac{4 2240328}{34}

d = \pm \frac{4 2240328}{34}

Separate the equation into 2 possible cases

d = \frac{4 2240328}{34} d = - \frac{4 2240328}{34}

Solution

d_{1} = - \frac{4 2240328}{34}, d_{2} = \frac{4 2240328}{34}

Alternative Form

d_{1} \approx - 1.137887, d_{2} \approx 1.137887

Show Solution