Find all possible factors of
16xy^2z
Answers
Step-by-step explanation:
y=2⋅±
2
=±2.8284
x=0.0000−2.8284i
x=0.0000+2.8284i
x=0
See steps
Step by Step Solution:
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Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
16*x*(y)/(y^(3))-(5*(y^(2))/(20)*x)=0
Step by step solution :
STEP
1
:
y2
Simplify ——
20
Equation at the end of step
1
:
y y2
(16x•————)-((5•——)•x) = 0
(y3) 20
STEP
2
:
y
Simplify ——
y3
Dividing exponential expressions :
2.1 y1 divided by y3 = y(1 - 3) = y(-2) = 1/y2
Equation at the end of step
2
:
1 xy2
(16x • ——) - ——— = 0
y2 4
STEP
3
:
Calculating the Least Common Multiple
3.1 Find the Least Common Multiple
The left denominator is : y2
The right denominator is : 4
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 0 2 2
Product of all
Prime Factors 1 4 4
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
y 2 0 2
Least Common Multiple:
4y2
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 4
Right_M = L.C.M / R_Deno = y2
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
(4(2)
three days profet)