20/3x²+1/3xy-1/4y²,-x²-2/3xy+2y²and 2/3x²-xy-5/4y²
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Answer : 3x = 2y
Explanation : In the given equation, real parts of both LHS and RHS will be equal
Therefore, 4x
2
+3xy=4y
2
−
2
x
2
⟹9x
2
+6xy−8y
2
=0
9x
2
+12xy−6xy−8y
2
=0
3x(3x+4y)−2y(3x+4y)=0
(3x+4y)(3x−2y)=0…(1)
Similarly, imaginary parts are equal
2xy−3x
2
=3xy−2y
2
⟹3x
2
+xy−2y
2
=0
3x
2
+3xy−2xy−2y
2
=0
3x(x+y)−2y(x+y)=0
(x+y)(3x−2y)=0…(2)
From (1) and (2)
3x=2y
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