Solve p^26492-1 - ScanMath

Question

Simplify the expression

6492 p^{2} - 1

Evaluate

p^{2} \times 6492 - 1

Solution

6492 p^{2} - 1

Show Solution

p_{1} = - \frac{1623}{3246}, p_{2} = \frac{1623}{3246}

Alternative Form

p_{1} \approx - 0.012411, p_{2} \approx 0.012411

Evaluate

p^{2} \times 6492 - 1

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

p^{2} \times 6492 - 1 = 0

Use the commutative property to reorder the terms

6492 p^{2} - 1 = 0

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

6492 p^{2} = 0 + 1

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

6492 p^{2} = 1

Divide both sides

\frac{6492 p ^{2}}{6492} = \frac{1}{6492}

Divide the numbers

p^{2} = \frac{1}{6492}

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

p = \pm \frac{1}{6492}

Simplify the expression

More Steps

Evaluate

\frac{1}{6492}

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

\frac{1}{6492}

Simplify the radical expression

\frac{1}{6492}

Simplify the radical expression

More Steps

Evaluate

6492

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

4 \times 1623

Write the number in exponential form with the base of 2

2^{2} \times 1623

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

2^{2} \times 1623

Reduce the index of the radical and exponent with 2

21623

\frac{1}{2 1623}

Multiply by the Conjugate

\frac{1623}{2 1623 \times 1623}

Multiply the numbers

More Steps

Evaluate

21623 \times 1623

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

2 \times 1623

Multiply the terms

3246

\frac{1623}{3246}

p = \pm \frac{1623}{3246}

Separate the equation into 2 possible cases

p = \frac{1623}{3246} p = - \frac{1623}{3246}

Solution

p_{1} = - \frac{1623}{3246}, p_{2} = \frac{1623}{3246}

Alternative Form

p_{1} \approx - 0.012411, p_{2} \approx 0.012411

Show Solution