Question
Find the roots
c1=−15165,c2=15165
Alternative Form
c1≈−0.856349,c2≈0.856349
Evaluate
15c2−11
To find the roots of the expression,set the expression equal to 0
15c2−11=0
Move the constant to the right-hand side and change its sign
15c2=0+11
Removing 0 doesn't change the value,so remove it from the expression
15c2=11
Divide both sides
1515c2=1511
Divide the numbers
c2=1511
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±1511
Simplify the expression
More Steps

Evaluate
1511
To take a root of a fraction,take the root of the numerator and denominator separately
1511
Multiply by the Conjugate
15×1511×15
Multiply the numbers
More Steps

Evaluate
11×15
The product of roots with the same index is equal to the root of the product
11×15
Calculate the product
165
15×15165
When a square root of an expression is multiplied by itself,the result is that expression
15165
c=±15165
Separate the equation into 2 possible cases
c=15165c=−15165
Solution
c1=−15165,c2=15165
Alternative Form
c1≈−0.856349,c2≈0.856349
Show Solution
