Question
Simplify the expression
57060c2−6
Evaluate
c×9510c×6−6
Solution
More Steps

Evaluate
c×9510c×6
Multiply the terms
c2×9510×6
Multiply the terms
c2×57060
Use the commutative property to reorder the terms
57060c2
57060c2−6
Show Solution

Factor the expression
6(9510c2−1)
Evaluate
c×9510c×6−6
Multiply
More Steps

Evaluate
c×9510c×6
Multiply the terms
c2×9510×6
Multiply the terms
c2×57060
Use the commutative property to reorder the terms
57060c2
57060c2−6
Solution
6(9510c2−1)
Show Solution

Find the roots
c1=−95109510,c2=95109510
Alternative Form
c1≈−0.010254,c2≈0.010254
Evaluate
c×9510c×6−6
To find the roots of the expression,set the expression equal to 0
c×9510c×6−6=0
Multiply
More Steps

Multiply the terms
c×9510c×6
Multiply the terms
c2×9510×6
Multiply the terms
c2×57060
Use the commutative property to reorder the terms
57060c2
57060c2−6=0
Move the constant to the right-hand side and change its sign
57060c2=0+6
Removing 0 doesn't change the value,so remove it from the expression
57060c2=6
Divide both sides
5706057060c2=570606
Divide the numbers
c2=570606
Cancel out the common factor 6
c2=95101
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±95101
Simplify the expression
More Steps

Evaluate
95101
To take a root of a fraction,take the root of the numerator and denominator separately
95101
Simplify the radical expression
95101
Multiply by the Conjugate
9510×95109510
When a square root of an expression is multiplied by itself,the result is that expression
95109510
c=±95109510
Separate the equation into 2 possible cases
c=95109510c=−95109510
Solution
c1=−95109510,c2=95109510
Alternative Form
c1≈−0.010254,c2≈0.010254
Show Solution
