Solve 9-1-1(s^2 e9)

Question

Simplify the expression

8 - 9 e s^{2}

Show Solution

s_{1} = - \frac{2 2 e}{3 e}, s_{2} = \frac{2 2 e}{3 e}

Alternative Form

s_{1} \approx - 0.571843, s_{2} \approx 0.571843

Evaluate

9 - 1 - 1 \times (s^{2} e \times 9)

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

9 - 1 - 1 \times (s^{2} e \times 9) = 0

Multiply the terms

More Steps

9 - 1 - 1 \times 9 e s^{2} = 0

Any expression multiplied by 1 remains the same

9 - 1 - 9 e s^{2} = 0

Subtract the numbers

8 - 9 e s^{2} = 0

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

- 9 e s^{2} = 0 - 8

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

- 9 e s^{2} = - 8

Change the signs on both sides of the equation

9 e s^{2} = 8

Divide both sides

\frac{9 e s ^{2}}{9 e} = \frac{8}{9 e}

Divide the numbers

s^{2} = \frac{8}{9 e}

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

s = \pm \frac{8}{9 e}

Simplify the expression

More Steps

s = \pm \frac{2 2 e}{3 e}

Separate the equation into 2 possible cases

s = \frac{2 2 e}{3 e} s = - \frac{2 2 e}{3 e}

Solution

s_{1} = - \frac{2 2 e}{3 e}, s_{2} = \frac{2 2 e}{3 e}

Alternative Form

s_{1} \approx - 0.571843, s_{2} \approx 0.571843

Show Solution