How do you solve #8k² - 3k =0#?

1 Answer
Mar 26, 2016

Answer:

#k=0"; "k=3/8#

Explanation:

#color(blue)("Determining the first solution")#

Straight away we can observe that if we set #k=0# then it is a
solution to the equation. To emphasise this point:
#8(0^2)-3(0)=0#

This is really the same thing as suggested by mason in that
#8(0^2)-3(0)=0" is equivalent to " k(8k-3)=0# where #k=0#.

#color(blue)("Determining the second solution")#

#8k^2-3x=0#

Also we can write it as:#" "8k^2=3k#

Divide both sides by #k# giving

#8k=3#

#=>k=3/8#

I nearly went on automatic and jump into using the standard formula for resolving #x#. Shows that it is worth taking the time to look hard at the question and see if you can spot any short cuts.