What are the solutions to the equation w/2w-3 = 4/w
I hope this helps you
w^2=8w-12
w^2-8w+12=0
w -6
w -2
(w-6)(w-2)=0
w=6
w=2
Answer:
w=2 , w=6 are the zeroes of the expression
Explanation:
We have been given the expression \(\frac{w}{2w-3}=\frac{4}{w}\)
after cross multiplication of the given expression so as to simplify it we will get \(\Rightarrow w^2=4(2w-3)\\\\\Rightarrow w^2=8w-12\\\\\Rightarrow w^2-8w+12=0\\\\\Rightarrow w^2-6w-2w+12\\\\(w-2)(w-6)=0\\\\w=2,6\)
Solution to the given equation is w=2,w=6
Therefore these are the solutions of the given expression.