Solve 9J^202-1 - ScanMath

Question

Simplify the expression

18 J^{2} - 1

Evaluate

9 J^{2} \times 2 - 1

Solution

18 J^{2} - 1

Show Solution

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

Alternative Form

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

Evaluate

9 J^{2} \times 2 - 1

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

9 J^{2} \times 2 - 1 = 0

Multiply the terms

18 J^{2} - 1 = 0

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

18 J^{2} = 0 + 1

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

18 J^{2} = 1

Divide both sides

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

Divide the numbers

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

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

J = \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}

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

Separate the equation into 2 possible cases

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

Solution

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

Alternative Form

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

Show Solution