Solve p^26422-1 - ScanMath

Question

Simplify the expression

Solution

6422 p^{2} - 1

Evaluate

p^{2} \times 6422 - 1

Solution

6422 p^{2} - 1

Show Solution

Find the roots of the algebra expression

p_{1} = - \frac{38}{494}, p_{2} = \frac{38}{494}

Alternative Form

p_{1} \approx - 0.012479, p_{2} \approx 0.012479

Evaluate

p^{2} \times 6422 - 1

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

p^{2} \times 6422 - 1 = 0

Use the commutative property to reorder the terms

6422 p^{2} - 1 = 0

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

6422 p^{2} = 0 + 1

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

6422 p^{2} = 1

Divide both sides

\frac{6422 p ^{2}}{6422} = \frac{1}{6422}

Divide the numbers

p^{2} = \frac{1}{6422}

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

p = \pm \frac{1}{6422}

Simplify the expression

More Steps

Evaluate

\frac{1}{6422}

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

\frac{1}{6422}

Simplify the radical expression

\frac{1}{6422}

Simplify the radical expression

More Steps

Evaluate

6422

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

169 \times 38

Write the number in exponential form with the base of 13

1 3^{2} \times 38

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

1 3^{2} \times 38

Reduce the index of the radical and exponent with 2

1338

\frac{1}{13 38}

Multiply by the Conjugate

\frac{38}{13 38 \times 38}

Multiply the numbers

More Steps

Evaluate

1338 \times 38

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

13 \times 38

Multiply the terms

494

\frac{38}{494}

p = \pm \frac{38}{494}

Separate the equation into 2 possible cases

p = \frac{38}{494} p = - \frac{38}{494}

Solution

p_{1} = - \frac{38}{494}, p_{2} = \frac{38}{494}

Alternative Form

p_{1} \approx - 0.012479, p_{2} \approx 0.012479

Show Solution