SOLUTION: i need help with this Find an equation of the inverse relation. a. 2x2 + 5y2 = 4 and b. y = 3x2 � 5x + 9 Thanks so much

Question 315269: i need help with this Find an equation of the inverse relation.
a. 2x2 + 5y2 = 4
and
b. y = 3x2 � 5x + 9
Thanks so much
Found 2 solutions by stanbon, malaydassharma:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find an equation of the inverse relation.
a. 2x2 + 5y2 = 4
---
Interchange 3x and y:
2y^2 + 5x^2 = 4
Solve for "y":
y^2 = -(5/2)x^2 + 2
---
y = sqrt[(-5/2)x^2+2)] or y = -sqrt[(-5/2)x^2+2]
---------------------------------------
and
b. y = 3x2 � 5x + 9
Interchange x and y:
x = 3y^2 - 5y +9
3y^2 -5y + (9-x)
Solve for "y":
y = [5 +- sqrt(25 - 4*3(9-x))]/2
---
y = [5 + sqrt(25 - 4*3(9-x))]/2 or y = [5 - sqrt(25 - 4*3(9-x))]/2
=============================================
Cheers,
Stan H.
Answer by malaydassharma(59) (Show Source): You can put this solution on YOUR website!
a. Equation is

Or, , where, and
Hence, equation of the inverse relation is
, where, and
Or,where, and
b. Equation is
where, for any x
Hence, equation of the inverse relation is
where, for any y

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