Solve p^2004-154065

Question

Simplify the expression

4 p^{2} - 154065

Evaluate

p^{2} \times 4 - 154065

Solution

4 p^{2} - 154065

Show Solution

p_{1} = - \frac{154065}{2}, p_{2} = \frac{154065}{2}

Alternative Form

p_{1} \approx - 196.255573, p_{2} \approx 196.255573

Evaluate

p^{2} \times 4 - 154065

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

p^{2} \times 4 - 154065 = 0

Use the commutative property to reorder the terms

4 p^{2} - 154065 = 0

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

4 p^{2} = 0 + 154065

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

4 p^{2} = 154065

Divide both sides

\frac{4 p ^{2}}{4} = \frac{154065}{4}

Divide the numbers

p^{2} = \frac{154065}{4}

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

p = \pm \frac{154065}{4}

Simplify the expression

More Steps

Evaluate

\frac{154065}{4}

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

\frac{154065}{4}

Simplify the radical expression

More Steps

Evaluate

4

Write the number in exponential form with the base of 2

2^{2}

Reduce the index of the radical and exponent with 2

2

\frac{154065}{2}

p = \pm \frac{154065}{2}

Separate the equation into 2 possible cases

p = \frac{154065}{2} p = - \frac{154065}{2}

Solution

p_{1} = - \frac{154065}{2}, p_{2} = \frac{154065}{2}

Alternative Form

p_{1} \approx - 196.255573, p_{2} \approx 196.255573

Show Solution