Solve h^4471-1-0 - ScanMath

Question

Simplify the expression

471 h^{4} - 1

Evaluate

h^{4} \times 471 - 1 - 0

Use the commutative property to reorder the terms

471 h^{4} - 1 - 0

Solution

471 h^{4} - 1

Show Solution

h_{1} = - \frac{4 47 1 ^{3}}{471}, h_{2} = \frac{4 47 1 ^{3}}{471}

Alternative Form

h_{1} \approx - 0.214657, h_{2} \approx 0.214657

Evaluate

h^{4} \times 471 - 1 - 0

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

h^{4} \times 471 - 1 - 0 = 0

Use the commutative property to reorder the terms

471 h^{4} - 1 - 0 = 0

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

471 h^{4} - 1 = 0

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

471 h^{4} = 0 + 1

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

471 h^{4} = 1

Divide both sides

\frac{471 h ^{4}}{471} = \frac{1}{471}

Divide the numbers

h^{4} = \frac{1}{471}

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

h = \pm 4 \frac{1}{471}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{471}

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

\frac{4 1}{4 471}

Simplify the radical expression

\frac{1}{4 471}

Multiply by the Conjugate

\frac{4 47 1 ^{3}}{4 471 \times 4 47 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

4471 \times 4 47 1^{3}

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

4 471 \times 47 1^{3}

Calculate the product

4 47 1^{4}

Reduce the index of the radical and exponent with 4

471

\frac{4 47 1 ^{3}}{471}

h = \pm \frac{4 47 1 ^{3}}{471}

Separate the equation into 2 possible cases

h = \frac{4 47 1 ^{3}}{471} h = - \frac{4 47 1 ^{3}}{471}

Solution

h_{1} = - \frac{4 47 1 ^{3}}{471}, h_{2} = \frac{4 47 1 ^{3}}{471}

Alternative Form

h_{1} \approx - 0.214657, h_{2} \approx 0.214657

Show Solution