show that the curres 6x²-5x+ 2y=0 and 4x²+8y²=3 touch each other at (1/2,1/2)
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Step-by-step explanation:
substitute y
2
=4x in x
2
+y
2
−6x+1=0
after substituting the equation would become,
x
2
−2x+1=0 =(x−1)
2
(x−1)
2
=0
from above equation x=1
substitute x=1in any of the given equations
y
2
=4(1)
y=2
therefore they touch each other at(1,2)
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