Quadratic Equations

posted by .

The question is

Is the point (-3, -2) a solution of the intersection of the following set of quadratic equations:

Y < -X^2
X^2 + Y^2 < 16

I guess I am somewhat confused by the way it's written. Would I be graphing this to find out? I'm so confused with this problem. I have asked for help and alot of people really don't understand it when they look at it. The answer I have for it is 321, but I am not quite sure if that really answers the question. Is the point a solution of the intersection of those equations? Please help me, I feel so lost!

  • Quadratic Equations -

    The solution to inequalities is a region, not just a point. In this case, think of the graphs.

    y < -x^2 is the whole inside of the downward-opening parabola with vertex at (0,0).

    x^2 + y^2 < 16 is the inside of the circle of radius 4 centered at (0,0).

    So, is 9+4<16? yes, the point is inside the circle.

    Is -2 < -9? No. It is not inside the parabola.

    How can you possibly come up with 321 as an answer? Is that x or y?

    The point is not a solution of equations, because you don't have any equations; you have inequalities.

    visit wolframalpha . com and enter

    plot {x^2+y^2 < 16, y < -x^2}

    to see the shaded region which satisfies both inequalities.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra Quadratic Equations

    I am trying to define the different appraoches to solving quadratic equations. My book says using quadratic formula, completing the sqaure and factoring. I thought completing the square would be by facotring?
  2. Algebra

    How do you know if a quadratic equation will have one, two, or no solutions?
  3. ALGEBRA-MAT117

    How do you know if a quadratic equation will have one, two, or no solutions?
  4. ALGEBRA

    How do you know if a quadratic equation will have one, two, or no solutions?
  5. Algebra

    Is the point (-3,-2) a solution of the intersection of the following set of quadratic equations: Y < -X ^ 2X^2 + Y^2< 16
  6. Algebra (Quadratic Equations)

    Is the point (-3, -2) a solution of the intersection of the following set of quadratic equations: Y < - X ^ 2 X^2 + Y^2 < 16
  7. Alg 1 quadratic equations

    I'm doing quadratic equations x^2 +bx+c =0. I know how to questions like x^2 +17x +42 =0 but this one says, j^2-9jk-10k^2. I have no clue on what I need to do
  8. Algebra 2 (Quadratic Equations)

    Is the point (-3, -2) a solution of the intersection of the following set of quadratic equations: Y < -X^2 X^2 + Y^2 < 16 I'm not sure how to actually work this problem out. Can anyone help me with this problem please.
  9. MATH

    Which method of solving quadratic equations should be used when only an estimated solution is necessary?
  10. Math (PLEASE HELP!)

    1. Solve the system of equations by elimination.y=2x^2-2x-3 and y=-x^2-2x-3 2.The system of equations y=-5(x+4)^2-4 and y=8x^2+64x+124 has _____ solution(s). 3. Determine the value of k in y=kx^2-5x+2 that will result in the intersection …

More Similar Questions