Solve h^44-2-1216

Question

Simplify the expression

4 h^{4} - 1218

Evaluate

h^{4} \times 4 - 2 - 1216

Use the commutative property to reorder the terms

4 h^{4} - 2 - 1216

Solution

4 h^{4} - 1218

Show Solution

2 (2 h^{4} - 609)

Evaluate

h^{4} \times 4 - 2 - 1216

Use the commutative property to reorder the terms

4 h^{4} - 2 - 1216

Subtract the numbers

4 h^{4} - 1218

Solution

2 (2 h^{4} - 609)

Show Solution

h_{1} = - \frac{4 4872}{2}, h_{2} = \frac{4 4872}{2}

Alternative Form

h_{1} \approx - 4.177311, h_{2} \approx 4.177311

Evaluate

h^{4} \times 4 - 2 - 1216

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

h^{4} \times 4 - 2 - 1216 = 0

Use the commutative property to reorder the terms

4 h^{4} - 2 - 1216 = 0

Subtract the numbers

4 h^{4} - 1218 = 0

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

4 h^{4} = 0 + 1218

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

4 h^{4} = 1218

Divide both sides

\frac{4 h ^{4}}{4} = \frac{1218}{4}

Divide the numbers

h^{4} = \frac{1218}{4}

Cancel out the common factor 2

h^{4} = \frac{609}{2}

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

h = \pm 4 \frac{609}{2}

Simplify the expression

More Steps

Evaluate

4 \frac{609}{2}

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

\frac{4 609}{4 2}

Multiply by the Conjugate

\frac{4 609 \times 4 2 ^{3}}{4 2 \times 4 2 ^{3}}

Simplify

\frac{4 609 \times 4 8}{4 2 \times 4 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

4609 \times 48

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

4 609 \times 8

Calculate the product

44872

\frac{4 4872}{4 2 \times 4 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

42 \times 4 2^{3}

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

4 2 \times 2^{3}

Calculate the product

4 2^{4}

Reduce the index of the radical and exponent with 4

2

\frac{4 4872}{2}

h = \pm \frac{4 4872}{2}

Separate the equation into 2 possible cases

h = \frac{4 4872}{2} h = - \frac{4 4872}{2}

Solution

h_{1} = - \frac{4 4872}{2}, h_{2} = \frac{4 4872}{2}

Alternative Form

h_{1} \approx - 4.177311, h_{2} \approx 4.177311

Show Solution