Solve p^26986-1 - ScanMath

Question

Simplify the expression

6986 p^{2} - 1

Evaluate

p^{2} \times 6986 - 1

Solution

6986 p^{2} - 1

Show Solution

p_{1} = - \frac{6986}{6986}, p_{2} = \frac{6986}{6986}

Alternative Form

p_{1} \approx - 0.011964, p_{2} \approx 0.011964

Evaluate

p^{2} \times 6986 - 1

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

p^{2} \times 6986 - 1 = 0

Use the commutative property to reorder the terms

6986 p^{2} - 1 = 0

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

6986 p^{2} = 0 + 1

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

6986 p^{2} = 1

Divide both sides

\frac{6986 p ^{2}}{6986} = \frac{1}{6986}

Divide the numbers

p^{2} = \frac{1}{6986}

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

p = \pm \frac{1}{6986}

Simplify the expression

More Steps

Evaluate

\frac{1}{6986}

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

\frac{1}{6986}

Simplify the radical expression

\frac{1}{6986}

Multiply by the Conjugate

\frac{6986}{6986 \times 6986}

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

\frac{6986}{6986}

p = \pm \frac{6986}{6986}

Separate the equation into 2 possible cases

p = \frac{6986}{6986} p = - \frac{6986}{6986}

Solution

p_{1} = - \frac{6986}{6986}, p_{2} = \frac{6986}{6986}

Alternative Form

p_{1} \approx - 0.011964, p_{2} \approx 0.011964

Show Solution