algebra

posted by .

Solve the following, then check your answer by graphing.
x^2+4y^2=25
y^2-x=1

  • algebra -

    Eq1: X^2 + 4Y^2 = 25.

    Eq2: Y^2 - X = 1.
    Y^2 = X + 1.

    In Eq1, substitute

  • algebra -

    Eq1: X^2 + 4Y^2 = 25.

    Eq2: Y^2 - X = 1.
    Y^2 = X + 1.

    In Eq1, substitute X+1 for Y^2:
    X^2 + 4(X+1) = 25,
    X^2 + 4X + 4 = 25,
    (X+2)^2 = 25,
    Take sqrt of both sides:
    X+2 = +-5,
    X = X = 5-2 = 3.
    X = -5-2 = -7.

    Solution set: (3,+-2), (-7,+-sqrt6i).

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    This will be a multiple post thing so please bear with me. If my answers are wrong then please explain I'll post my work as needed thanks. 1)Identify the y-intercept and the axis of symemetry for the graph of f(x)=-3x^2+6x+12. answer=12:x=1 …
  2. algebra

    1)Identify the y-intercept and the axis of symemetry for the graph of f(x)=-3x^2+6x+12. answer=12:x=1 2)Determine whether f(x)=-5x^2-10x+6 has a maximum or minimum value and find that value. answer=maximum -1 3)Solve x^2=4x by graphing …
  3. algebra

    Solve the following by graphing: 2x - y = 4 2x - y = 6
  4. Algebra

    Hello, can someone tell me if I got the following solve and check work correct?
  5. Algebra 1

    Hello. I am having a bit of trouble understanding the following "Solve by Graphing. 3x + y = 5 -2x + 3y = 4" I know you can't see the graphing on this site, but I would really appreciate it if someone points me in the right direction …
  6. algebra

    solve by graphing 1.80+.2x=y 2.10+.15x=y solve by graphing 20+20x=y 200-25x=y
  7. Algebra 1

    Solve the following equation by graphing the related function. 1. 4x^2 + 8x = 32 A: ?
  8. Algebra 1--Please, help me!

    Solve the following equation by graphing the related function. 1. 4x^2 + 8x = 32 A: ?
  9. Math, Algebra, Graphing Systems of Linear Equation

    I'm confused about graphing or solving the linear equations for slope/intercept. Here is what I solved: 3x+2y=-6 X-4y=-16 2y= -3x-6 -4y=1x-16 Y=-3/2+3 Y=+1/4+4 ------------- My answer for graphing the systems for the lines to intersect...well, …
  10. Math, Algebra, Graphing Systems of Linear Equation

    I'm confused about graphing or solving the linear equations for slope/intercept. Here is what I solved: 3x+2y=-6 X-4y=-16 2y= -3x-6 -4y=1x-16 Y=-3/2+3 Y=+1/4+4 ------------- My answer for graphing the systems for the lines to intersect...well, …

More Similar Questions