Solve c^22-500-1200

Question

Simplify the expression

2 c^{2} - 1700

Evaluate

c^{2} \times 2 - 500 - 1200

Use the commutative property to reorder the terms

2 c^{2} - 500 - 1200

Solution

2 c^{2} - 1700

Show Solution

2 (c^{2} - 850)

Evaluate

c^{2} \times 2 - 500 - 1200

Use the commutative property to reorder the terms

2 c^{2} - 500 - 1200

Subtract the numbers

2 c^{2} - 1700

Solution

2 (c^{2} - 850)

Show Solution

c_{1} = - 534, c_{2} = 534

Alternative Form

c_{1} \approx - 29.154759, c_{2} \approx 29.154759

Evaluate

c^{2} \times 2 - 500 - 1200

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

c^{2} \times 2 - 500 - 1200 = 0

Use the commutative property to reorder the terms

2 c^{2} - 500 - 1200 = 0

Subtract the numbers

2 c^{2} - 1700 = 0

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

2 c^{2} = 0 + 1700

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

2 c^{2} = 1700

Divide both sides

\frac{2 c ^{2}}{2} = \frac{1700}{2}

Divide the numbers

c^{2} = \frac{1700}{2}

Divide the numbers

More Steps

Evaluate

\frac{1700}{2}

Reduce the numbers

\frac{850}{1}

Calculate

850

c^{2} = 850

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

c = \pm 850

Simplify the expression

More Steps

Evaluate

850

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

25 \times 34

Write the number in exponential form with the base of 5

5^{2} \times 34

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

5^{2} \times 34

Reduce the index of the radical and exponent with 2

534

c = \pm 534

Separate the equation into 2 possible cases

c = 534 c = - 534

Solution

c_{1} = - 534, c_{2} = 534

Alternative Form

c_{1} \approx - 29.154759, c_{2} \approx 29.154759

Show Solution