Solve p^2 100-300000

Question

Simplify the expression

100 p^{2} - 300000

Evaluate

p^{2} \times 100 - 300000

Solution

100 p^{2} - 300000

Show Solution

100 (p^{2} - 3000)

Evaluate

p^{2} \times 100 - 300000

Use the commutative property to reorder the terms

100 p^{2} - 300000

Solution

100 (p^{2} - 3000)

Show Solution

p_{1} = - 1030, p_{2} = 1030

Alternative Form

p_{1} \approx - 54.772256, p_{2} \approx 54.772256

Evaluate

p^{2} \times 100 - 300000

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

p^{2} \times 100 - 300000 = 0

Use the commutative property to reorder the terms

100 p^{2} - 300000 = 0

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

100 p^{2} = 0 + 300000

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

100 p^{2} = 300000

Divide both sides

\frac{100 p ^{2}}{100} = \frac{300000}{100}

Divide the numbers

p^{2} = \frac{300000}{100}

Divide the numbers

More Steps

Evaluate

\frac{300000}{100}

Reduce the numbers

\frac{3000}{1}

Calculate

3000

p^{2} = 3000

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

p = \pm 3000

Simplify the expression

More Steps

Evaluate

3000

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

100 \times 30

Write the number in exponential form with the base of 10

1 0^{2} \times 30

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

1 0^{2} \times 30

Reduce the index of the radical and exponent with 2

1030

p = \pm 1030

Separate the equation into 2 possible cases

p = 1030 p = - 1030

Solution

p_{1} = - 1030, p_{2} = 1030

Alternative Form

p_{1} \approx - 54.772256, p_{2} \approx 54.772256

Show Solution