Solve h^450-67-740

Question

Simplify the expression

50 h^{4} - 807

Evaluate

h^{4} \times 50 - 67 - 740

Use the commutative property to reorder the terms

50 h^{4} - 67 - 740

Solution

50 h^{4} - 807

Show Solution

h_{1} = - \frac{4 807 \times 5 0 ^{3}}{50}, h_{2} = \frac{4 807 \times 5 0 ^{3}}{50}

Alternative Form

h_{1} \approx - 2.004361, h_{2} \approx 2.004361

Evaluate

h^{4} \times 50 - 67 - 740

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

h^{4} \times 50 - 67 - 740 = 0

Use the commutative property to reorder the terms

50 h^{4} - 67 - 740 = 0

Subtract the numbers

50 h^{4} - 807 = 0

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

50 h^{4} = 0 + 807

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

50 h^{4} = 807

Divide both sides

\frac{50 h ^{4}}{50} = \frac{807}{50}

Divide the numbers

h^{4} = \frac{807}{50}

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

h = \pm 4 \frac{807}{50}

Simplify the expression

More Steps

Evaluate

4 \frac{807}{50}

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

\frac{4 807}{4 50}

Multiply by the Conjugate

\frac{4 807 \times 4 5 0 ^{3}}{4 50 \times 4 5 0 ^{3}}

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

\frac{4 807 \times 5 0 ^{3}}{4 50 \times 4 5 0 ^{3}}

Multiply the numbers

More Steps

Evaluate

450 \times 4 5 0^{3}

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

4 50 \times 5 0^{3}

Calculate the product

4 5 0^{4}

Reduce the index of the radical and exponent with 4

50

\frac{4 807 \times 5 0 ^{3}}{50}

h = \pm \frac{4 807 \times 5 0 ^{3}}{50}

Separate the equation into 2 possible cases

h = \frac{4 807 \times 5 0 ^{3}}{50} h = - \frac{4 807 \times 5 0 ^{3}}{50}

Solution

h_{1} = - \frac{4 807 \times 5 0 ^{3}}{50}, h_{2} = \frac{4 807 \times 5 0 ^{3}}{50}

Alternative Form

h_{1} \approx - 2.004361, h_{2} \approx 2.004361

Show Solution