Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
z1=−234,z2=0
Alternative Form
z1≈−0.793701,z2=0
Evaluate
−10z5=z2×5
Use the commutative property to reorder the terms
−10z5=5z2
Add or subtract both sides
−10z5−5z2=0
Factor the expression
−5z2(2z3+1)=0
Divide both sides
z2(2z3+1)=0
Separate the equation into 2 possible cases
z2=02z3+1=0
The only way a power can be 0 is when the base equals 0
z=02z3+1=0
Solve the equation
More Steps
Evaluate
2z3+1=0
Move the constant to the right-hand side and change its sign
2z3=0−1
Removing 0 doesn't change the value,so remove it from the expression
2z3=−1
Divide both sides
22z3=2−1
Divide the numbers
z3=2−1
Use b−a=−ba=−ba to rewrite the fraction
z3=−21
Take the 3-th root on both sides of the equation
3z3=3−21
Calculate
z=3−21
Simplify the root
More Steps
Evaluate
3−21
An odd root of a negative radicand is always a negative
−321
To take a root of a fraction,take the root of the numerator and denominator separately
−3231
Simplify the radical expression
−321
Multiply by the Conjugate
32×322−322
Simplify
32×322−34
Multiply the numbers
2−34
Calculate
−234
z=−234
z=0z=−234
Solution
z1=−234,z2=0
Alternative Form
z1≈−0.793701,z2=0
Show Solution
Graph
