Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
k+9k4
Evaluate
k+k4×9
Solution
k+9k4
Show Solution
Factor the expression
k(1+9k3)
Evaluate
k+k4×9
Use the commutative property to reorder the terms
k+9k4
Rewrite the expression
k+k×9k3
Solution
k(1+9k3)
Show Solution
Find the roots
k1=−333,k2=0
Alternative Form
k1≈−0.48075,k2=0
Evaluate
k+k4×9
To find the roots of the expression,set the expression equal to 0
k+k4×9=0
Use the commutative property to reorder the terms
k+9k4=0
Factor the expression
k(1+9k3)=0
Separate the equation into 2 possible cases
k=01+9k3=0
Solve the equation
More Steps
Evaluate
1+9k3=0
Move the constant to the right-hand side and change its sign
9k3=0−1
Removing 0 doesn't change the value,so remove it from the expression
9k3=−1
Divide both sides
99k3=9−1
Divide the numbers
k3=9−1
Use b−a=−ba=−ba to rewrite the fraction
k3=−91
Take the 3-th root on both sides of the equation
3k3=3−91
Calculate
k=3−91
Simplify the root
More Steps
Evaluate
3−91
An odd root of a negative radicand is always a negative
−391
To take a root of a fraction,take the root of the numerator and denominator separately
−3931
Simplify the radical expression
−391
Multiply by the Conjugate
39×392−392
Simplify
39×392−333
Multiply the numbers
32−333
Reduce the fraction
3−33
Calculate
−333
k=−333
k=0k=−333
Solution
k1=−333,k2=0
Alternative Form
k1≈−0.48075,k2=0
Show Solution