Solve c^22-500-1100

Question

Simplify the expression

2 c^{2} - 1600

Evaluate

c^{2} \times 2 - 500 - 1100

Use the commutative property to reorder the terms

2 c^{2} - 500 - 1100

Solution

2 c^{2} - 1600

Show Solution

2 (c^{2} - 800)

Evaluate

c^{2} \times 2 - 500 - 1100

Use the commutative property to reorder the terms

2 c^{2} - 500 - 1100

Subtract the numbers

2 c^{2} - 1600

Solution

2 (c^{2} - 800)

Show Solution

c_{1} = - 202, c_{2} = 202

Alternative Form

c_{1} \approx - 28.284271, c_{2} \approx 28.284271

Evaluate

c^{2} \times 2 - 500 - 1100

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

c^{2} \times 2 - 500 - 1100 = 0

Use the commutative property to reorder the terms

2 c^{2} - 500 - 1100 = 0

Subtract the numbers

2 c^{2} - 1600 = 0

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

2 c^{2} = 0 + 1600

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

2 c^{2} = 1600

Divide both sides

\frac{2 c ^{2}}{2} = \frac{1600}{2}

Divide the numbers

c^{2} = \frac{1600}{2}

Divide the numbers

More Steps

Evaluate

\frac{1600}{2}

Reduce the numbers

\frac{800}{1}

Calculate

800

c^{2} = 800

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

c = \pm 800

Simplify the expression

More Steps

Evaluate

800

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

400 \times 2

Write the number in exponential form with the base of 20

2 0^{2} \times 2

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

2 0^{2} \times 2

Reduce the index of the radical and exponent with 2

202

c = \pm 202

Separate the equation into 2 possible cases

c = 202 c = - 202

Solution

c_{1} = - 202, c_{2} = 202

Alternative Form

c_{1} \approx - 28.284271, c_{2} \approx 28.284271

Show Solution