SOLUTION: how do i get the value of u in: u(squared) = 4u

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: how do i get the value of u in: u(squared) = 4u      Log On


   

Question 186435: how do i get the value of u in:
u(squared) = 4u
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
u%5E2=4u Start with the given equation


u%5E2-4u=0 Subtract 4u from both sides.


u%28u-4%29=0 Factor out the GCF "u"


Now set each factor equal to zero (using the zero product property):

u=0 or u-4=0


u=0 or u=4 Solve for "u" in each case


So the solutions are

u=0 or u=4


--------------------

Check:

Let's check u=0

u%5E2=4u

0%5E2=4%280%29

0=0 works

-------------------------

Let's check u=4

u%5E2=4u

4%5E2=4%284%29

16=16 works