Solve s*s 28-48-2782

Question

Simplify the expression

28 s^{2} - 2830

Evaluate

s \times s \times 28 - 48 - 2782

Multiply

More Steps

Multiply the terms

s \times s \times 28

Multiply the terms

s^{2} \times 28

Use the commutative property to reorder the terms

28 s^{2}

28 s^{2} - 48 - 2782

Solution

28 s^{2} - 2830

Show Solution

Factor the expression

2 (14 s^{2} - 1415)

Evaluate

s \times s \times 28 - 48 - 2782

Multiply

More Steps

Multiply the terms

s \times s \times 28

Multiply the terms

s^{2} \times 28

Use the commutative property to reorder the terms

28 s^{2}

28 s^{2} - 48 - 2782

Subtract the numbers

28 s^{2} - 2830

Solution

2 (14 s^{2} - 1415)

Show Solution

Find the roots

s_{1} = - \frac{19810}{14}, s_{2} = \frac{19810}{14}

Alternative Form

s_{1} \approx - 10.053429, s_{2} \approx 10.053429

Evaluate

s \times s \times 28 - 48 - 2782

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

s \times s \times 28 - 48 - 2782 = 0

Multiply

More Steps

Multiply the terms

s \times s \times 28

Multiply the terms

s^{2} \times 28

Use the commutative property to reorder the terms

28 s^{2}

28 s^{2} - 48 - 2782 = 0

Subtract the numbers

28 s^{2} - 2830 = 0

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

28 s^{2} = 0 + 2830

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

28 s^{2} = 2830

Divide both sides

\frac{28 s ^{2}}{28} = \frac{2830}{28}

Divide the numbers

s^{2} = \frac{2830}{28}

Cancel out the common factor 2

s^{2} = \frac{1415}{14}

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

s = \pm \frac{1415}{14}

Simplify the expression

More Steps

Evaluate

\frac{1415}{14}

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

\frac{1415}{14}

Multiply by the Conjugate

\frac{1415 \times 14}{14 \times 14}

Multiply the numbers

More Steps

Evaluate

1415 \times 14

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

1415 \times 14

Calculate the product

19810

\frac{19810}{14 \times 14}

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

\frac{19810}{14}

s = \pm \frac{19810}{14}

Separate the equation into 2 possible cases

s = \frac{19810}{14} s = - \frac{19810}{14}

Solution

s_{1} = - \frac{19810}{14}, s_{2} = \frac{19810}{14}

Alternative Form

s_{1} \approx - 10.053429, s_{2} \approx 10.053429

Show Solution