Solve 1-o^2018 - ScanMath

Question

Simplify the expression

1 - 18 o^{2}

Evaluate

1 - o^{2} \times 18

Solution

1 - 18 o^{2}

Show Solution

o_{1} = - \frac{2}{6}, o_{2} = \frac{2}{6}

Alternative Form

o_{1} \approx - 0.235702, o_{2} \approx 0.235702

Evaluate

1 - o^{2} \times 18

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

1 - o^{2} \times 18 = 0

Use the commutative property to reorder the terms

1 - 18 o^{2} = 0

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

- 18 o^{2} = 0 - 1

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

- 18 o^{2} = - 1

Change the signs on both sides of the equation

18 o^{2} = 1

Divide both sides

\frac{18 o ^{2}}{18} = \frac{1}{18}

Divide the numbers

o^{2} = \frac{1}{18}

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

o = \pm \frac{1}{18}

Simplify the expression

More Steps

Evaluate

\frac{1}{18}

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

\frac{1}{18}

Simplify the radical expression

\frac{1}{18}

Simplify the radical expression

More Steps

Evaluate

18

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

9 \times 2

Write the number in exponential form with the base of 3

3^{2} \times 2

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

3^{2} \times 2

Reduce the index of the radical and exponent with 2

32

\frac{1}{3 2}

Multiply by the Conjugate

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

Multiply the numbers

More Steps

Evaluate

32 \times 2

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

3 \times 2

Multiply the terms

6

\frac{2}{6}

o = \pm \frac{2}{6}

Separate the equation into 2 possible cases

o = \frac{2}{6} o = - \frac{2}{6}

Solution

o_{1} = - \frac{2}{6}, o_{2} = \frac{2}{6}

Alternative Form

o_{1} \approx - 0.235702, o_{2} \approx 0.235702

Show Solution