Solve p^21512-1 - ScanMath

Question

Simplify the expression

1512 p^{2} - 1

Evaluate

p^{2} \times 1512 - 1

Solution

1512 p^{2} - 1

Show Solution

p_{1} = - \frac{42}{252}, p_{2} = \frac{42}{252}

Alternative Form

p_{1} \approx - 0.025717, p_{2} \approx 0.025717

Evaluate

p^{2} \times 1512 - 1

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

p^{2} \times 1512 - 1 = 0

Use the commutative property to reorder the terms

1512 p^{2} - 1 = 0

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

1512 p^{2} = 0 + 1

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

1512 p^{2} = 1

Divide both sides

\frac{1512 p ^{2}}{1512} = \frac{1}{1512}

Divide the numbers

p^{2} = \frac{1}{1512}

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

p = \pm \frac{1}{1512}

Simplify the expression

More Steps

Evaluate

\frac{1}{1512}

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

\frac{1}{1512}

Simplify the radical expression

\frac{1}{1512}

Simplify the radical expression

More Steps

Evaluate

1512

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

36 \times 42

Write the number in exponential form with the base of 6

6^{2} \times 42

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

6^{2} \times 42

Reduce the index of the radical and exponent with 2

642

\frac{1}{6 42}

Multiply by the Conjugate

\frac{42}{6 42 \times 42}

Multiply the numbers

More Steps

Evaluate

642 \times 42

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

6 \times 42

Multiply the terms

252

\frac{42}{252}

p = \pm \frac{42}{252}

Separate the equation into 2 possible cases

p = \frac{42}{252} p = - \frac{42}{252}

Solution

p_{1} = - \frac{42}{252}, p_{2} = \frac{42}{252}

Alternative Form

p_{1} \approx - 0.025717, p_{2} \approx 0.025717

Show Solution