Solve p^23832-1 - ScanMath

Question

Simplify the expression

3832 p^{2} - 1

Evaluate

p^{2} \times 3832 - 1

Solution

3832 p^{2} - 1

Show Solution

p_{1} = - \frac{958}{1916}, p_{2} = \frac{958}{1916}

Alternative Form

p_{1} \approx - 0.016154, p_{2} \approx 0.016154

Evaluate

p^{2} \times 3832 - 1

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

p^{2} \times 3832 - 1 = 0

Use the commutative property to reorder the terms

3832 p^{2} - 1 = 0

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

3832 p^{2} = 0 + 1

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

3832 p^{2} = 1

Divide both sides

\frac{3832 p ^{2}}{3832} = \frac{1}{3832}

Divide the numbers

p^{2} = \frac{1}{3832}

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

p = \pm \frac{1}{3832}

Simplify the expression

More Steps

Evaluate

\frac{1}{3832}

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

\frac{1}{3832}

Simplify the radical expression

\frac{1}{3832}

Simplify the radical expression

More Steps

Evaluate

3832

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

4 \times 958

Write the number in exponential form with the base of 2

2^{2} \times 958

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

2^{2} \times 958

Reduce the index of the radical and exponent with 2

2958

\frac{1}{2 958}

Multiply by the Conjugate

\frac{958}{2 958 \times 958}

Multiply the numbers

More Steps

Evaluate

2958 \times 958

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

2 \times 958

Multiply the terms

1916

\frac{958}{1916}

p = \pm \frac{958}{1916}

Separate the equation into 2 possible cases

p = \frac{958}{1916} p = - \frac{958}{1916}

Solution

p_{1} = - \frac{958}{1916}, p_{2} = \frac{958}{1916}

Alternative Form

p_{1} \approx - 0.016154, p_{2} \approx 0.016154

Show Solution