Solve s^68-50919 - ScanMath

Question

Simplify the expression

8 s^{6} - 50919

Evaluate

s^{6} \times 8 - 50919

Solution

8 s^{6} - 50919

Show Solution

s_{1} = - \frac{6 407352}{2}, s_{2} = \frac{6 407352}{2}

Alternative Form

s_{1} \approx - 4.304919, s_{2} \approx 4.304919

Evaluate

s^{6} \times 8 - 50919

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

s^{6} \times 8 - 50919 = 0

Use the commutative property to reorder the terms

8 s^{6} - 50919 = 0

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

8 s^{6} = 0 + 50919

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

8 s^{6} = 50919

Divide both sides

\frac{8 s ^{6}}{8} = \frac{50919}{8}

Divide the numbers

s^{6} = \frac{50919}{8}

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

s = \pm 6 \frac{50919}{8}

Simplify the expression

More Steps

Evaluate

6 \frac{50919}{8}

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

\frac{6 50919}{6 8}

Simplify the radical expression

More Steps

Evaluate

68

Write the number in exponential form with the base of 2

6 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{6 50919}{2}

Multiply by the Conjugate

\frac{6 50919 \times 2}{2 \times 2}

Multiply the numbers

More Steps

Evaluate

650919 \times 2

Use n a = mn a^{m} to expand the expression

650919 \times 6 2^{3}

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

6 50919 \times 2^{3}

Calculate the product

6407352

\frac{6 407352}{2 \times 2}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{6 407352}{2}

s = \pm \frac{6 407352}{2}

Separate the equation into 2 possible cases

s = \frac{6 407352}{2} s = - \frac{6 407352}{2}

Solution

s_{1} = - \frac{6 407352}{2}, s_{2} = \frac{6 407352}{2}

Alternative Form

s_{1} \approx - 4.304919, s_{2} \approx 4.304919

Show Solution