How do you solve #\frac { x + 1} { 4} = \frac { 5} { x }#?

1 Answer
Tidematic
Jun 3, 2018

x = -5
x = 4

Explanation:

#(x+1)/4 = 5/x# cross multiply

#x^2 + x = 20# result after cross multiply

#x^2 + x - 20 = 0# bring 20 to the other side

#(x+5)(x-4) = 0# factor and solve for x
#x+5=0# || #x-4 = 0#

#x=-5 # and #x =4#

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