SOLUTION: I know how to determine where these graphs intersect by graphing them but I have to determine algebraically where these graphs intersect.
{{{ 4x^2 +16y^2 =64 }}}
{{{ 2x-y^2=-4
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-> SOLUTION: I know how to determine where these graphs intersect by graphing them but I have to determine algebraically where these graphs intersect.
{{{ 4x^2 +16y^2 =64 }}}
{{{ 2x-y^2=-4
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Question 1045863: I know how to determine where these graphs intersect by graphing them but I have to determine algebraically where these graphs intersect.
Found 2 solutions by solver91311, MathLover1:Answer by solver91311(24713) (Show Source):
Substitute the roots for x in either equation and then solve for y. Discard one of the x-values because you get a complex number result for y. The remaining value of x paired with either of the two real roots for y are your two intersection points.
John
My calculator said it, I believe it, that settles it
You can put this solution on YOUR website! .............(1) .............(2).........both sides multiply by
-------------------------------------------
.............(1) .............(2)
--------------------------------------------------------add
................both sides divide by ...........factor
solutions:
if ->
now find
go to .............(2) substitute
if we have -> or
so, if there are two intersection points :
(,) and (,)
if we have -> -> ->-> or -> complex solutions
or
