How do you solve #3h^2 - 10h +8=0#?

1 Answer
Don't Memorise
Jun 24, 2015

#color(green)( h=2 , h=4/3#

Explanation:

#3h^2 - 10h + 8 = 0#
We can first factorise this expression and then proceed towards finding the solution:

factorising by : splitting the middle term
#3h^2 color(blue)(-10h) + 8 = 0#
#3h^2 color(blue)(- 6h - 4h) + 8 = 0#
#3h( h- 2) - 4 (h - 2) = 0#
#color(green)((h-2) ( 3h- 4)) = 0#

Equating the factors with zero to obtain solutions:
#h-2 = 0# and #3h-4 = 0#

So, the solutions are:
#color(green)( h=2 , h=4/3#

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