Question
Solve the equation
k1=−3454,k2=0,k3=3454
Alternative Form
k1≈−0.903602,k2=0,k3≈0.903602
Evaluate
6k6=4k2
Add or subtract both sides
6k6−4k2=0
Factor the expression
2k2(3k4−2)=0
Divide both sides
k2(3k4−2)=0
Separate the equation into 2 possible cases
k2=03k4−2=0
The only way a power can be 0 is when the base equals 0
k=03k4−2=0
Solve the equation
More Steps

Evaluate
3k4−2=0
Move the constant to the right-hand side and change its sign
3k4=0+2
Removing 0 doesn't change the value,so remove it from the expression
3k4=2
Divide both sides
33k4=32
Divide the numbers
k4=32
Take the root of both sides of the equation and remember to use both positive and negative roots
k=±432
Simplify the expression
More Steps

Evaluate
432
To take a root of a fraction,take the root of the numerator and denominator separately
4342
Multiply by the Conjugate
43×43342×433
Simplify
43×43342×427
Multiply the numbers
43×433454
Multiply the numbers
3454
k=±3454
Separate the equation into 2 possible cases
k=3454k=−3454
k=0k=3454k=−3454
Solution
k1=−3454,k2=0,k3=3454
Alternative Form
k1≈−0.903602,k2=0,k3≈0.903602
Show Solution
