Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
9k3+k
Evaluate
k3×9+k
Solution
9k3+k
Show Solution
Factor the expression
k(9k2+1)
Evaluate
k3×9+k
Use the commutative property to reorder the terms
9k3+k
Rewrite the expression
k×9k2+k
Solution
k(9k2+1)
Show Solution
Find the roots
k1=−31i,k2=31i,k3=0
Alternative Form
k1=−0.3˙×i,k2=0.3˙×i,k3=0
Evaluate
k3×9+k
To find the roots of the expression,set the expression equal to 0
k3×9+k=0
Use the commutative property to reorder the terms
9k3+k=0
Factor the expression
k(9k2+1)=0
Separate the equation into 2 possible cases
k=09k2+1=0
Solve the equation
More Steps
Evaluate
9k2+1=0
Move the constant to the right-hand side and change its sign
9k2=0−1
Removing 0 doesn't change the value,so remove it from the expression
9k2=−1
Divide both sides
99k2=9−1
Divide the numbers
k2=9−1
Use b−a=−ba=−ba to rewrite the fraction
k2=−91
Take the root of both sides of the equation and remember to use both positive and negative roots
k=±−91
Simplify the expression
More Steps
Evaluate
−91
Evaluate the power
91×−1
Evaluate the power
91×i
Evaluate the power
31i
k=±31i
Separate the equation into 2 possible cases
k=31ik=−31i
k=0k=31ik=−31i
Solution
k1=−31i,k2=31i,k3=0
Alternative Form
k1=−0.3˙×i,k2=0.3˙×i,k3=0
Show Solution