SOLUTION: x2−2y=11
3x2+y2=24 I'm suppose to solve the system of equations and need, if I should use elimination or plug in and my teacher said there should be a total of four solution
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Question 852363: x2−2y=11
3x2+y2=24 I'm suppose to solve the system of equations and need, if I should use elimination or plug in and my teacher said there should be a total of four solutions
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
You must want these equations as given ones:
and .
-------- A parabola intersecting a circle. Yes, MAYBE four solutions for that system; depends....
What method to solve the system, depends on what you know and what you want to use (unless you are directed to use a particular method). That choice appears to be YOURS.
To not remove the opportunity for you to begin to solve the system, I will begin a couple of steps off the site page and continue some of it on the site page...
A possible equation resulting from a solution process can be . This is a quadratic equation in y, and it is factorable.
Continuing with that factorization,
and this will mean through , that or .
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LOOKS LIKE TWO SOLUTIONS, NOT FOUR SOLUTIONS.
One reason the circle appears split is because the circle is made of two functions put together on the same graph.
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This graph very obviously shows two points of intersection; NOT four.
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