Solve 1890s^2-8-0

Question

Simplify the expression

1890 s^{2} - 8

Evaluate

1890 s^{2} - 8 - 0

Solution

1890 s^{2} - 8

Show Solution

2 (945 s^{2} - 4)

Evaluate

1890 s^{2} - 8 - 0

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

1890 s^{2} - 8

Solution

2 (945 s^{2} - 4)

Show Solution

s_{1} = - \frac{2 105}{315}, s_{2} = \frac{2 105}{315}

Alternative Form

s_{1} \approx - 0.06506, s_{2} \approx 0.06506

Evaluate

1890 s^{2} - 8 - 0

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

1890 s^{2} - 8 - 0 = 0

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

1890 s^{2} - 8 = 0

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

1890 s^{2} = 0 + 8

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

1890 s^{2} = 8

Divide both sides

\frac{1890 s ^{2}}{1890} = \frac{8}{1890}

Divide the numbers

s^{2} = \frac{8}{1890}

Cancel out the common factor 2

s^{2} = \frac{4}{945}

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

s = \pm \frac{4}{945}

Simplify the expression

More Steps

Evaluate

\frac{4}{945}

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

\frac{4}{945}

Simplify the radical expression

More Steps

Evaluate

4

Write the number in exponential form with the base of 2

2^{2}

Reduce the index of the radical and exponent with 2

2

\frac{2}{945}

Simplify the radical expression

More Steps

Evaluate

945

Write the expression as a product where the root of one of the factors can be evaluated

9 \times 105

Write the number in exponential form with the base of 3

3^{2} \times 105

The root of a product is equal to the product of the roots of each factor

3^{2} \times 105

Reduce the index of the radical and exponent with 2

3105

\frac{2}{3 105}

Multiply by the Conjugate

\frac{2 105}{3 105 \times 105}

Multiply the numbers

More Steps

Evaluate

3105 \times 105

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

3 \times 105

Multiply the terms

315

\frac{2 105}{315}

s = \pm \frac{2 105}{315}

Separate the equation into 2 possible cases

s = \frac{2 105}{315} s = - \frac{2 105}{315}

Solution

s_{1} = - \frac{2 105}{315}, s_{2} = \frac{2 105}{315}

Alternative Form

s_{1} \approx - 0.06506, s_{2} \approx 0.06506

Show Solution