Question
Simplify the expression
2c2−1700
Evaluate
c2×2−500−1200
Use the commutative property to reorder the terms
2c2−500−1200
Solution
2c2−1700
Show Solution

Factor the expression
2(c2−850)
Evaluate
c2×2−500−1200
Use the commutative property to reorder the terms
2c2−500−1200
Subtract the numbers
2c2−1700
Solution
2(c2−850)
Show Solution

Find the roots
c1=−534,c2=534
Alternative Form
c1≈−29.154759,c2≈29.154759
Evaluate
c2×2−500−1200
To find the roots of the expression,set the expression equal to 0
c2×2−500−1200=0
Use the commutative property to reorder the terms
2c2−500−1200=0
Subtract the numbers
2c2−1700=0
Move the constant to the right-hand side and change its sign
2c2=0+1700
Removing 0 doesn't change the value,so remove it from the expression
2c2=1700
Divide both sides
22c2=21700
Divide the numbers
c2=21700
Divide the numbers
More Steps

Evaluate
21700
Reduce the numbers
1850
Calculate
850
c2=850
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±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
25×34
Write the number in exponential form with the base of 5
52×34
The root of a product is equal to the product of the roots of each factor
52×34
Reduce the index of the radical and exponent with 2
534
c=±534
Separate the equation into 2 possible cases
c=534c=−534
Solution
c1=−534,c2=534
Alternative Form
c1≈−29.154759,c2≈29.154759
Show Solution
