Solve p^21000-23000010

Question

Simplify the expression

1000 p^{2} - 23000010

Evaluate

p^{2} \times 1000 - 23000010

Solution

1000 p^{2} - 23000010

Show Solution

10 (100 p^{2} - 2300001)

Evaluate

p^{2} \times 1000 - 23000010

Use the commutative property to reorder the terms

1000 p^{2} - 23000010

Solution

10 (100 p^{2} - 2300001)

Show Solution

p_{1} = - \frac{2300001}{10}, p_{2} = \frac{2300001}{10}

Alternative Form

p_{1} \approx - 151.657542, p_{2} \approx 151.657542

Evaluate

p^{2} \times 1000 - 23000010

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

p^{2} \times 1000 - 23000010 = 0

Use the commutative property to reorder the terms

1000 p^{2} - 23000010 = 0

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

1000 p^{2} = 0 + 23000010

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

1000 p^{2} = 23000010

Divide both sides

\frac{1000 p ^{2}}{1000} = \frac{23000010}{1000}

Divide the numbers

p^{2} = \frac{23000010}{1000}

Cancel out the common factor 10

p^{2} = \frac{2300001}{100}

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

p = \pm \frac{2300001}{100}

Simplify the expression

More Steps

Evaluate

\frac{2300001}{100}

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

\frac{2300001}{100}

Simplify the radical expression

More Steps

Evaluate

100

Write the number in exponential form with the base of 10

1 0^{2}

Reduce the index of the radical and exponent with 2

10

\frac{2300001}{10}

p = \pm \frac{2300001}{10}

Separate the equation into 2 possible cases

p = \frac{2300001}{10} p = - \frac{2300001}{10}

Solution

p_{1} = - \frac{2300001}{10}, p_{2} = \frac{2300001}{10}

Alternative Form

p_{1} \approx - 151.657542, p_{2} \approx 151.657542

Show Solution