Solve c^22-500-700

Question

Simplify the expression

2 c^{2} - 1200

Evaluate

c^{2} \times 2 - 500 - 700

Use the commutative property to reorder the terms

2 c^{2} - 500 - 700

Solution

2 c^{2} - 1200

Show Solution

2 (c^{2} - 600)

Evaluate

c^{2} \times 2 - 500 - 700

Use the commutative property to reorder the terms

2 c^{2} - 500 - 700

Subtract the numbers

2 c^{2} - 1200

Solution

2 (c^{2} - 600)

Show Solution

c_{1} = - 106, c_{2} = 106

Alternative Form

c_{1} \approx - 24.494897, c_{2} \approx 24.494897

Evaluate

c^{2} \times 2 - 500 - 700

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

c^{2} \times 2 - 500 - 700 = 0

Use the commutative property to reorder the terms

2 c^{2} - 500 - 700 = 0

Subtract the numbers

2 c^{2} - 1200 = 0

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

2 c^{2} = 0 + 1200

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

2 c^{2} = 1200

Divide both sides

\frac{2 c ^{2}}{2} = \frac{1200}{2}

Divide the numbers

c^{2} = \frac{1200}{2}

Divide the numbers

More Steps

Evaluate

\frac{1200}{2}

Reduce the numbers

\frac{600}{1}

Calculate

600

c^{2} = 600

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

c = \pm 600

Simplify the expression

More Steps

Evaluate

600

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

100 \times 6

Write the number in exponential form with the base of 10

1 0^{2} \times 6

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

1 0^{2} \times 6

Reduce the index of the radical and exponent with 2

106

c = \pm 106

Separate the equation into 2 possible cases

c = 106 c = - 106

Solution

c_{1} = - 106, c_{2} = 106

Alternative Form

c_{1} \approx - 24.494897, c_{2} \approx 24.494897

Show Solution