Divide z(5z2
-80) by 5z(z+4)
Answers
Answer:
your answer is 8
Step-by-step explanation:
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Answer:
Simplifying
z4 + 5z2 + -14 = 0
Reorder the terms:
-14 + 5z2 + z4 = 0
Solving
-14 + 5z2 + z4 = 0
Solving for variable 'z'.
Factor a trinomial.
(-7 + -1z2)(2 + -1z2) = 0
Subproblem 1
Set the factor '(-7 + -1z2)' equal to zero and attempt to solve:
Simplifying
-7 + -1z2 = 0
Solving
-7 + -1z2 = 0
Move all terms containing z to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1z2 = 0 + 7
Combine like terms: -7 + 7 = 0
0 + -1z2 = 0 + 7
-1z2 = 0 + 7
Combine like terms: 0 + 7 = 7
-1z2 = 7
Divide each side by '-1'.
z2 = -7
Simplifying
z2 = -7
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(2 + -1z2)' equal to zero and attempt to solve:
Simplifying
2 + -1z2 = 0
Solving
2 + -1z2 = 0
Move all terms containing z to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -1z2 = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -1z2 = 0 + -2
-1z2 = 0 + -2
Combine like terms: 0 + -2 = -2
-1z2 = -2
Divide each side by '-1'.
z2 = 2
Simplifying
z2 = 2
Take the square root of each side:
z = {-1.414213562, 1.414213562}
Solution
z = {-1.414213562, 1.414213562}