Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
z1=−4214,z2=0,z3=4214
Alternative Form
z1≈−0.089087,z2=0,z3≈0.089087
Evaluate
z2−14z4×9=0
Multiply the terms
z2−126z4=0
Factor the expression
z2(1−126z2)=0
Separate the equation into 2 possible cases
z2=01−126z2=0
The only way a power can be 0 is when the base equals 0
z=01−126z2=0
Solve the equation
More Steps
Evaluate
1−126z2=0
Move the constant to the right-hand side and change its sign
−126z2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−126z2=−1
Change the signs on both sides of the equation
126z2=1
Divide both sides
126126z2=1261
Divide the numbers
z2=1261
Take the root of both sides of the equation and remember to use both positive and negative roots
z=±1261
Simplify the expression
More Steps
Evaluate
1261
To take a root of a fraction,take the root of the numerator and denominator separately
1261
Simplify the radical expression
1261
Simplify the radical expression
3141
Multiply by the Conjugate
314×1414
Multiply the numbers
4214
z=±4214
Separate the equation into 2 possible cases
z=4214z=−4214
z=0z=4214z=−4214
Solution
z1=−4214,z2=0,z3=4214
Alternative Form
z1≈−0.089087,z2=0,z3≈0.089087
Show Solution
Graph
