Solve p^26032-1 - ScanMath

Question

Simplify the expression

6032 p^{2} - 1

Evaluate

p^{2} \times 6032 - 1

Solution

6032 p^{2} - 1

Show Solution

p_{1} = - \frac{377}{1508}, p_{2} = \frac{377}{1508}

Alternative Form

p_{1} \approx - 0.012876, p_{2} \approx 0.012876

Evaluate

p^{2} \times 6032 - 1

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

p^{2} \times 6032 - 1 = 0

Use the commutative property to reorder the terms

6032 p^{2} - 1 = 0

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

6032 p^{2} = 0 + 1

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

6032 p^{2} = 1

Divide both sides

\frac{6032 p ^{2}}{6032} = \frac{1}{6032}

Divide the numbers

p^{2} = \frac{1}{6032}

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

p = \pm \frac{1}{6032}

Simplify the expression

More Steps

Evaluate

\frac{1}{6032}

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

\frac{1}{6032}

Simplify the radical expression

\frac{1}{6032}

Simplify the radical expression

More Steps

Evaluate

6032

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

16 \times 377

Write the number in exponential form with the base of 4

4^{2} \times 377

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

4^{2} \times 377

Reduce the index of the radical and exponent with 2

4377

\frac{1}{4 377}

Multiply by the Conjugate

\frac{377}{4 377 \times 377}

Multiply the numbers

More Steps

Evaluate

4377 \times 377

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

4 \times 377

Multiply the terms

1508

\frac{377}{1508}

p = \pm \frac{377}{1508}

Separate the equation into 2 possible cases

p = \frac{377}{1508} p = - \frac{377}{1508}

Solution

p_{1} = - \frac{377}{1508}, p_{2} = \frac{377}{1508}

Alternative Form

p_{1} \approx - 0.012876, p_{2} \approx 0.012876

Show Solution