Solve j^29006-1 - ScanMath

Question

Simplify the expression

9006 j^{2} - 1

Evaluate

j^{2} \times 9006 - 1

Solution

9006 j^{2} - 1

Show Solution

j_{1} = - \frac{9006}{9006}, j_{2} = \frac{9006}{9006}

Alternative Form

j_{1} \approx - 0.010537, j_{2} \approx 0.010537

Evaluate

j^{2} \times 9006 - 1

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

j^{2} \times 9006 - 1 = 0

Use the commutative property to reorder the terms

9006 j^{2} - 1 = 0

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

9006 j^{2} = 0 + 1

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

9006 j^{2} = 1

Divide both sides

\frac{9006 j ^{2}}{9006} = \frac{1}{9006}

Divide the numbers

j^{2} = \frac{1}{9006}

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

j = \pm \frac{1}{9006}

Simplify the expression

More Steps

Evaluate

\frac{1}{9006}

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

\frac{1}{9006}

Simplify the radical expression

\frac{1}{9006}

Multiply by the Conjugate

\frac{9006}{9006 \times 9006}

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

\frac{9006}{9006}

j = \pm \frac{9006}{9006}

Separate the equation into 2 possible cases

j = \frac{9006}{9006} j = - \frac{9006}{9006}

Solution

j_{1} = - \frac{9006}{9006}, j_{2} = \frac{9006}{9006}

Alternative Form

j_{1} \approx - 0.010537, j_{2} \approx 0.010537

Show Solution