Solve 5-1h^4704 - ScanMath

Question

5 - 1 \times h^{4} \times 704

Simplify the expression

5 - 704 h^{4}

Evaluate

5 - 1 \times h^{4} \times 704

Solution

More Steps

Evaluate

1 \times h^{4} \times 704

Rewrite the expression

h^{4} \times 704

Use the commutative property to reorder the terms

704 h^{4}

5 - 704 h^{4}

Show Solution

h_{1} = - \frac{4 5 \times 4 4 ^{3}}{88}, h_{2} = \frac{4 5 \times 4 4 ^{3}}{88}

Alternative Form

h_{1} \approx - 0.290302, h_{2} \approx 0.290302

Evaluate

5 - 1 \times h^{4} \times 704

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

5 - 1 \times h^{4} \times 704 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times h^{4} \times 704

Rewrite the expression

h^{4} \times 704

Use the commutative property to reorder the terms

704 h^{4}

5 - 704 h^{4} = 0

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

- 704 h^{4} = 0 - 5

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

- 704 h^{4} = - 5

Change the signs on both sides of the equation

704 h^{4} = 5

Divide both sides

\frac{704 h ^{4}}{704} = \frac{5}{704}

Divide the numbers

h^{4} = \frac{5}{704}

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

h = \pm 4 \frac{5}{704}

Simplify the expression

More Steps

Evaluate

4 \frac{5}{704}

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

\frac{4 5}{4 704}

Simplify the radical expression

More Steps

Evaluate

4704

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

4 16 \times 44

Write the number in exponential form with the base of 2

4 2^{4} \times 44

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

4 2^{4} \times 444

Reduce the index of the radical and exponent with 4

2444

\frac{4 5}{2 4 44}

Multiply by the Conjugate

\frac{4 5 \times 4 4 4 ^{3}}{2 4 44 \times 4 4 4 ^{3}}

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

\frac{4 5 \times 4 4 ^{3}}{2 4 44 \times 4 4 4 ^{3}}

Multiply the numbers

More Steps

Evaluate

2444 \times 4 4 4^{3}

Multiply the terms

2 \times 44

Multiply the terms

88

\frac{4 5 \times 4 4 ^{3}}{88}

h = \pm \frac{4 5 \times 4 4 ^{3}}{88}

Separate the equation into 2 possible cases

h = \frac{4 5 \times 4 4 ^{3}}{88} h = - \frac{4 5 \times 4 4 ^{3}}{88}

Solution

h_{1} = - \frac{4 5 \times 4 4 ^{3}}{88}, h_{2} = \frac{4 5 \times 4 4 ^{3}}{88}

Alternative Form

h_{1} \approx - 0.290302, h_{2} \approx 0.290302

Show Solution