Algebra
Calculus
Trigonometry
Matrix
Question
z×1×z3=z2×z4
Solve the equation
z1=−1,z2=0,z3=1
Evaluate
z×1×z3=z2×z4
Multiply the terms
More Steps
Evaluate
z×1×z3
Rewrite the expression
z×z3
Use the product rule an×am=an+m to simplify the expression
z1+3
Add the numbers
z4
z4=z2×z4
Multiply the terms
More Steps
Evaluate
z2×z4
Use the product rule an×am=an+m to simplify the expression
z2+4
Add the numbers
z6
z4=z6
Move the expression to the left side
z4−z6=0
Factor the expression
z4(1−z2)=0
Separate the equation into 2 possible cases
z4=01−z2=0
The only way a power can be 0 is when the base equals 0
z=01−z2=0
Solve the equation
More Steps
Evaluate
1−z2=0
Move the constant to the right-hand side and change its sign
−z2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−z2=−1
Change the signs on both sides of the equation
z2=1
Take the root of both sides of the equation and remember to use both positive and negative roots
z=±1
Simplify the expression
z=±1
Separate the equation into 2 possible cases
z=1z=−1
z=0z=1z=−1
Solution
z1=−1,z2=0,z3=1
Show Solution
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