Solve h^4544-1 - ScanMath

Question

Simplify the expression

544 h^{4} - 1

Evaluate

h^{4} \times 544 - 1

Solution

544 h^{4} - 1

Show Solution

h_{1} = - \frac{4 39304}{68}, h_{2} = \frac{4 39304}{68}

Alternative Form

h_{1} \approx - 0.207062, h_{2} \approx 0.207062

Evaluate

h^{4} \times 544 - 1

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

h^{4} \times 544 - 1 = 0

Use the commutative property to reorder the terms

544 h^{4} - 1 = 0

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

544 h^{4} = 0 + 1

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

544 h^{4} = 1

Divide both sides

\frac{544 h ^{4}}{544} = \frac{1}{544}

Divide the numbers

h^{4} = \frac{1}{544}

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

h = \pm 4 \frac{1}{544}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{544}

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

\frac{4 1}{4 544}

Simplify the radical expression

\frac{1}{4 544}

Simplify the radical expression

More Steps

Evaluate

4544

Write the expression as a product where the root of one of the factors can be evaluated

4 16 \times 34

Write the number in exponential form with the base of 2

4 2^{4} \times 34

The root of a product is equal to the product of the roots of each factor

4 2^{4} \times 434

Reduce the index of the radical and exponent with 4

2434

\frac{1}{2 4 34}

Multiply by the Conjugate

\frac{4 3 4 ^{3}}{2 4 34 \times 4 3 4 ^{3}}

Simplify

\frac{4 39304}{2 4 34 \times 4 3 4 ^{3}}

Multiply the numbers

More Steps

Evaluate

2434 \times 4 3 4^{3}

Multiply the terms

2 \times 34

Multiply the terms

68

\frac{4 39304}{68}

h = \pm \frac{4 39304}{68}

Separate the equation into 2 possible cases

h = \frac{4 39304}{68} h = - \frac{4 39304}{68}

Solution

h_{1} = - \frac{4 39304}{68}, h_{2} = \frac{4 39304}{68}

Alternative Form

h_{1} \approx - 0.207062, h_{2} \approx 0.207062

Show Solution