Solve (888) 4o^4-5548

Question

Simplify the expression

3552 o^{4} - 5548

Evaluate

888 \times 4 o^{4} - 5548

Solution

3552 o^{4} - 5548

Show Solution

4 (888 o^{4} - 1387)

Evaluate

888 \times 4 o^{4} - 5548

Multiply the terms

3552 o^{4} - 5548

Solution

4 (888 o^{4} - 1387)

Show Solution

o_{1} = - \frac{4 1387 \times 88 8 ^{3}}{888}, o_{2} = \frac{4 1387 \times 88 8 ^{3}}{888}

Alternative Form

o_{1} \approx - 1.117933, o_{2} \approx 1.117933

Evaluate

888 \times 4 o^{4} - 5548

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

888 \times 4 o^{4} - 5548 = 0

Multiply the terms

3552 o^{4} - 5548 = 0

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

3552 o^{4} = 0 + 5548

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

3552 o^{4} = 5548

Divide both sides

\frac{3552 o ^{4}}{3552} = \frac{5548}{3552}

Divide the numbers

o^{4} = \frac{5548}{3552}

Cancel out the common factor 4

o^{4} = \frac{1387}{888}

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

o = \pm 4 \frac{1387}{888}

Simplify the expression

More Steps

Evaluate

4 \frac{1387}{888}

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

\frac{4 1387}{4 888}

Multiply by the Conjugate

\frac{4 1387 \times 4 88 8 ^{3}}{4 888 \times 4 88 8 ^{3}}

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

\frac{4 1387 \times 88 8 ^{3}}{4 888 \times 4 88 8 ^{3}}

Multiply the numbers

More Steps

Evaluate

4888 \times 4 88 8^{3}

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

4 888 \times 88 8^{3}

Calculate the product

4 88 8^{4}

Reduce the index of the radical and exponent with 4

888

\frac{4 1387 \times 88 8 ^{3}}{888}

o = \pm \frac{4 1387 \times 88 8 ^{3}}{888}

Separate the equation into 2 possible cases

o = \frac{4 1387 \times 88 8 ^{3}}{888} o = - \frac{4 1387 \times 88 8 ^{3}}{888}

Solution

o_{1} = - \frac{4 1387 \times 88 8 ^{3}}{888}, o_{2} = \frac{4 1387 \times 88 8 ^{3}}{888}

Alternative Form

o_{1} \approx - 1.117933, o_{2} \approx 1.117933

Show Solution