How do you solve #10v ^ { 2} + 35v - 245= 0#?

1 Answer
Mar 27, 2017

Solution: # v=3.5 , v= -7#

Explanation:

#10v^2 +35v -245=0 #. Dividing both sides by #5# we get
#2v^2 +7v -49=0 or 2v^2 +14v -7v -49=0 or 2v(v+7) -7(v+7)=0 or (2v-7)(v+7)=0 :.#
Either #2v-7 =0 :. v= 7/2=3.5 or v+7=0 :. v= -7#
Solution: # v=3.5 , v= -7#