Solve p^27682-1 - ScanMath

Question

Simplify the expression

7682 p^{2} - 1

Evaluate

p^{2} \times 7682 - 1

Solution

7682 p^{2} - 1

Show Solution

p_{1} = - \frac{7682}{7682}, p_{2} = \frac{7682}{7682}

Alternative Form

p_{1} \approx - 0.011409, p_{2} \approx 0.011409

Evaluate

p^{2} \times 7682 - 1

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

p^{2} \times 7682 - 1 = 0

Use the commutative property to reorder the terms

7682 p^{2} - 1 = 0

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

7682 p^{2} = 0 + 1

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

7682 p^{2} = 1

Divide both sides

\frac{7682 p ^{2}}{7682} = \frac{1}{7682}

Divide the numbers

p^{2} = \frac{1}{7682}

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

p = \pm \frac{1}{7682}

Simplify the expression

More Steps

Evaluate

\frac{1}{7682}

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

\frac{1}{7682}

Simplify the radical expression

\frac{1}{7682}

Multiply by the Conjugate

\frac{7682}{7682 \times 7682}

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

\frac{7682}{7682}

p = \pm \frac{7682}{7682}

Separate the equation into 2 possible cases

p = \frac{7682}{7682} p = - \frac{7682}{7682}

Solution

p_{1} = - \frac{7682}{7682}, p_{2} = \frac{7682}{7682}

Alternative Form

p_{1} \approx - 0.011409, p_{2} \approx 0.011409

Show Solution