algebra

Find the real solutions

8x^2 + y^2 = 25
8X^2 - y^2 = 39

Is this no solution because I tried solving it and i got the square root of 32 for y, but when i plugged it in to get x there was a negative under the square root sign which means its no solution, right? please help...thanks!

  1. 👍 0
  2. 👎 0
  3. 👁 66
asked by meg
  1. The first one is an ellipse
    The second one is a hyperbola
    What do you mean by solutions?
    Do you want values of x where y = 0 or what?

    1. 👍 0
    2. 👎 0
    posted by Damon
  2. Oh, I see from your earlier questions, solve the intersections of ellipse and hyperbola.
    Well both are centered on the origin, so the hyperbola either cuts the ellipse or misses it entirely.

    1. 👍 0
    2. 👎 0
    posted by Damon
  3. okay thanks! so that means...there is no solution for solving it algebraically?

    1. 👍 0
    2. 👎 0
    posted by meg
  4. The ellipse is from x = -2 to x = +2 and y = -1 to y = + 1
    The hyperbola is above y = 5 and below y = -5

    THEREFORE THEY NEVER HIT

    Let's say from the ellipse y^2 = (25 - 8 x^2)
    then from the hyperbola
    8 x^2 - (25 - 8 x^2) = 39
    16 x^2 -25 = 39
    16 x^2 = 64
    x^2 = 4
    x = 2, x = -2
    y^2 = 25 - 8(4) = 25 - 32 = imaginary y
    This is at the very ends of the ellipse, but the hyperbola does not go there

    1. 👍 0
    2. 👎 0
    posted by Damon
  5. whoa, too quick
    the ellipse is from x = -5/(2 sqrt 2) to +5/(2 sqrt 2) which is about -1.77 to +1.77 and y from -5 to +5
    The hyperbola is left of - 2.2 and right of +2.2
    They do not hit no matter how you look at them :)

    1. 👍 0
    2. 👎 0
    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    determine the nature of the solutions of the equation, one real solution, two real solutions, or two non-real solutions. x^2-20x+100=0

    asked by sam on July 11, 2010
  2. Algebra II

    How many real solutions does the function shown on the graph have? a) no real solutions b) one real solution c) two real solutions d) cannot be determined ___________________________ y = (x+2)^2 + 3 is shown on the graph. I am

    asked by Anonymous on January 12, 2018
  3. Pre-Cal

    Find all Real solutions of the Equation: (ENter as comma sparated answers, if there are no real solutions then just leave as NRS) x^(4/3)-9x^(2/3)+14=0 x=?

    asked by Dom on May 25, 2016
  4. Algebra

    Consider the equation: 4x^2 – 16x + 25 = 0 (a) Show how to compute the discriminant, b^2 – 4ac, and then state whether there is one real-number solution, two different real-number solutions, or two different imaginary-number

    asked by Tammie on July 8, 2009
  5. Algebra

    Consider the equation 4x^2 – 16x + 25 = 0. (a) Show how to compute the discriminant, b^2 – 4ac, and then state whether there is one real-number solution, two different real-number solutions, or two different imaginary-number

    asked by Pamela on July 7, 2009
  6. algebra

    determine the nature of the solutions of the equation. Two real solutions, two imaginary solutions, or one real solution. 2t^2-4t=0

    asked by sam on July 11, 2010
  7. Algebra

    For the following equation, state the value of the discriminant and then describe the nature of the solutions. -7x^2+3x-4=0 What is the value of the disriminant? Does the equation have two imaginary solutions, two real solutions,

    asked by Sam on March 2, 2009
  8. Math

    I am given 4 choices for the problem the square root of 8x -2 = the square root of 2x. The choices are a)x=2 or 2/9 b)no solutions c)2/9 or d)x=2.I have imput the numbers and gotten a variety of solutions none of which are any of

    asked by Kellie on January 16, 2007
  9. Math

    How many real number solutions does the equation have? y=3x^2-5x-5 A)one solution B)two solutions C)no solutions D)infinitely many solutions I can't figure this question out. Any help would be amazing.

    asked by Sasha on June 1, 2015
  10. algebra

    For the following equation, state the value of the discriminant and then the nature of the soluation: -3x^2-8x-11=0 Is there one real solution, two imaginary solutions or two real solutions?

    asked by Jones on November 9, 2011
  11. Math

    1)How many real number solutions does the equation have? -8x^2-8x-2=0 A) One Solution B) Two Solutions C) No solutions D) Infinitely many solutions If someone could help me with this that would be great since I am confused. Thank

    asked by Tia on April 6, 2015

More Similar Questions