Solve 9-1-1 s^6e10

Question

Simplify the expression

8 - 10 e s^{6}

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2 (4 - 5 e s^{6})

Show Solution

s_{1} = - \frac{6 12500 e ^{5}}{5 e}, s_{2} = \frac{6 12500 e ^{5}}{5 e}

Alternative Form

s_{1} \approx - 0.815579, s_{2} \approx 0.815579

Evaluate

9 - 1 - 1 \times s^{6} e \times 10

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

9 - 1 - 1 \times s^{6} e \times 10 = 0

Multiply the terms

More Steps

9 - 1 - 10 e s^{6} = 0

Subtract the numbers

8 - 10 e s^{6} = 0

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

- 10 e s^{6} = 0 - 8

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

- 10 e s^{6} = - 8

Change the signs on both sides of the equation

10 e s^{6} = 8

Divide both sides

\frac{10 e s ^{6}}{10 e} = \frac{8}{10 e}

Divide the numbers

s^{6} = \frac{8}{10 e}

Cancel out the common factor 2

s^{6} = \frac{4}{5 e}

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

s = \pm 6 \frac{4}{5 e}

Simplify the expression

More Steps

s = \pm \frac{6 12500 e ^{5}}{5 e}

Separate the equation into 2 possible cases

s = \frac{6 12500 e ^{5}}{5 e} s = - \frac{6 12500 e ^{5}}{5 e}

Solution

s_{1} = - \frac{6 12500 e ^{5}}{5 e}, s_{2} = \frac{6 12500 e ^{5}}{5 e}

Alternative Form

s_{1} \approx - 0.815579, s_{2} \approx 0.815579

Show Solution