Question
Simplify the expression
13k2−1
Evaluate
13k×k−1
Solution
13k2−1
Show Solution

Find the roots
k1=−1313,k2=1313
Alternative Form
k1≈−0.27735,k2≈0.27735
Evaluate
13k×k−1
To find the roots of the expression,set the expression equal to 0
13k×k−1=0
Multiply the terms
13k2−1=0
Move the constant to the right-hand side and change its sign
13k2=0+1
Removing 0 doesn't change the value,so remove it from the expression
13k2=1
Divide both sides
1313k2=131
Divide the numbers
k2=131
Take the root of both sides of the equation and remember to use both positive and negative roots
k=±131
Simplify the expression
More Steps

Evaluate
131
To take a root of a fraction,take the root of the numerator and denominator separately
131
Simplify the radical expression
131
Multiply by the Conjugate
13×1313
When a square root of an expression is multiplied by itself,the result is that expression
1313
k=±1313
Separate the equation into 2 possible cases
k=1313k=−1313
Solution
k1=−1313,k2=1313
Alternative Form
k1≈−0.27735,k2≈0.27735
Show Solution
