Solve 8dd^355116-591

Question

Simplify the expression

440928 d^{4} - 591

Show Solution

3 (146976 d^{4} - 197)

Show Solution

d_{1} = - \frac{4 197 \times 918 6 ^{3}}{18372}, d_{2} = \frac{4 197 \times 918 6 ^{3}}{18372}

Alternative Form

d_{1} \approx - 0.19134, d_{2} \approx 0.19134

Evaluate

8 d \times d^{3} \times 55116 - 591

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

8 d \times d^{3} \times 55116 - 591 = 0

Multiply

More Steps

440928 d^{4} - 591 = 0

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

440928 d^{4} = 0 + 591

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

440928 d^{4} = 591

Divide both sides

\frac{440928 d ^{4}}{440928} = \frac{591}{440928}

Divide the numbers

d^{4} = \frac{591}{440928}

Cancel out the common factor 3

d^{4} = \frac{197}{146976}

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

d = \pm 4 \frac{197}{146976}

Simplify the expression

More Steps

d = \pm \frac{4 197 \times 918 6 ^{3}}{18372}

Separate the equation into 2 possible cases

d = \frac{4 197 \times 918 6 ^{3}}{18372} d = - \frac{4 197 \times 918 6 ^{3}}{18372}

Solution

d_{1} = - \frac{4 197 \times 918 6 ^{3}}{18372}, d_{2} = \frac{4 197 \times 918 6 ^{3}}{18372}

Alternative Form

d_{1} \approx - 0.19134, d_{2} \approx 0.19134

Show Solution