Question
Solve the equation
z1=−2440,z2=0,z3=2440
Alternative Form
z1≈−1.257433,z2=0,z3≈1.257433
Evaluate
10z=z5×4
Use the commutative property to reorder the terms
10z=4z5
Add or subtract both sides
10z−4z5=0
Factor the expression
2z(5−2z4)=0
Divide both sides
z(5−2z4)=0
Separate the equation into 2 possible cases
z=05−2z4=0
Solve the equation
More Steps

Evaluate
5−2z4=0
Move the constant to the right-hand side and change its sign
−2z4=0−5
Removing 0 doesn't change the value,so remove it from the expression
−2z4=−5
Change the signs on both sides of the equation
2z4=5
Divide both sides
22z4=25
Divide the numbers
z4=25
Take the root of both sides of the equation and remember to use both positive and negative roots
z=±425
Simplify the expression
More Steps

Evaluate
425
To take a root of a fraction,take the root of the numerator and denominator separately
4245
Multiply by the Conjugate
42×42345×423
Simplify
42×42345×48
Multiply the numbers
42×423440
Multiply the numbers
2440
z=±2440
Separate the equation into 2 possible cases
z=2440z=−2440
z=0z=2440z=−2440
Solution
z1=−2440,z2=0,z3=2440
Alternative Form
z1≈−1.257433,z2=0,z3≈1.257433
Show Solution
