Solve s^2405-8440(25)1032-1

Question

Simplify the expression

405 s^{2} - 217752001

Show Solution

s_{1} = - \frac{1088760005}{45}, s_{2} = \frac{1088760005}{45}

Alternative Form

s_{1} \approx - 733.252522, s_{2} \approx 733.252522

Evaluate

s^{2} \times 405 - 8440 \times 25 \times 1032 - 1

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

s^{2} \times 405 - 8440 \times 25 \times 1032 - 1 = 0

Use the commutative property to reorder the terms

405 s^{2} - 8440 \times 25 \times 1032 - 1 = 0

Multiply the terms

More Steps

405 s^{2} - 217752000 - 1 = 0

Subtract the numbers

405 s^{2} - 217752001 = 0

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

405 s^{2} = 0 + 217752001

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

405 s^{2} = 217752001

Divide both sides

\frac{405 s ^{2}}{405} = \frac{217752001}{405}

Divide the numbers

s^{2} = \frac{217752001}{405}

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

s = \pm \frac{217752001}{405}

Simplify the expression

More Steps

s = \pm \frac{1088760005}{45}

Separate the equation into 2 possible cases

s = \frac{1088760005}{45} s = - \frac{1088760005}{45}

Solution

s_{1} = - \frac{1088760005}{45}, s_{2} = \frac{1088760005}{45}

Alternative Form

s_{1} \approx - 733.252522, s_{2} \approx 733.252522

Show Solution