What are the solution(s) to #5w^2+8w=80#?

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Answer 1 · 2018-04-01T12:28:23

#=> w = ( -4 pm 4sqrt 26 ) / 5 #

#5w^2+8w = 80#

#=> 5w^2 + 8w - 80 = 0 #

Now use the quadratics formula:

#w = ( -b pm sqrt(b^2-4ac) ) / (2a) #

Where #a = 5 , b = 8 , c = -80 #

#=> w =( -8 pm sqrt( 8^2 - (4*5*-80 ) )) / (2*5) #

#=> w = ( -4 pm 4sqrt 26 ) / 5 #