question (doubt)....

solve to find x and y:-

  1. 👍 0
  2. 👎 0
  3. 👁 137
  1. try grouping

    (x+2y)(x^2 - 2xu + 4y^2) + (x+2y) = 0
    (x+2y)(x^2 - 2xy + 4y^2 + 1) = 0

    x = -2y or x^2 -2xy + 4y^2 + 1 = 0

    treat the second like a quadratic with


    x = (2y ± √(4y^2 - 4(1)(4y^2+1))/2
    = (2y ± √(-12y^2 - 4)/2
    notice the inside of the √ will always be negative so there is no real solution to that second part

    so x = -2y

    from that you can find an infinite number of solutions,
    e.g. (-2,1), (4,-2), (-5.2 , 2.6) ...

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Trigonometry

    4. Find the exact value for sin(x+y) if sinx=-4/5 and cos y = 15/17. Angles x and y are in the fourth quadrant. 5. Find the exact value for cos 165degrees using the half-angle identity. 1. Solve: 2 cos^2x - 3 cosx + 1 = 0 for 0

    asked by Tiffany Enlow on April 10, 2009
  2. Calculus

    If Z = f(u, v), u = 𝑥^2−𝑦,𝑣=𝑥−𝑦^2, find Z𝑥𝑥 in terms of derivatives of f. No clue what to do to solve. I try looking for a video but no luck.Show me in a way so I understand how to solve it on my own.

    asked by C on July 14, 2020
  3. math

    1.solve for p 3(p+q)=p A.q=-2/3p B.q=-3/2p C.p=-2/3q D.p=-3/2q 2. solve for b then find the value of b when a=3 4a=2b-7 A.-9/2 B.5/2 C.19/2 D.17 3. solve for r d=rt A.r=dt B.r=t/d C.d/t D.r=d-t 4. find the width of a rectangle

    asked by oto on September 15, 2016
  4. Substitution Method-Plz help

    Use the Substitution method to solve the system of equations. x + y = -4 x - y = 2 solve for x in the second equation. x= y+2 Put that in for x in the first equation: x+y=-4 (y+2) + y = -4 solve for y. Then, x= y+2 i don't get

    asked by Svetlana on October 17, 2006
  1. Statistics

    Let 𝑋1,…,𝑋𝑛 be i.i.d. random variables with distribution (𝜃,𝜃) , for some unknown parameter 𝜃>0 . Find an interval I𝜃 (that depends on 𝜃 ) centered about 𝑋⎯⎯⎯⎯⎯𝑛 such that P(I𝜃

    asked by ramj on June 7, 2020
  2. calculus

    find the volume of solid inside the paraboloid z=9-x^2-y^2, outside the cylinder x^2+y^2=4 and above the xy-plane 1) solve using double integration of rectangular coordinate. 2) solve using double integration of polar coordinate

    asked by AIRA on May 10, 2014
  3. geometry

    line BD bisects angle ABC. Solve for X and find the measures of angle ABC. angle ABD= 5X, angle DBC= 3X + 10 I don't really understand this question so can someone please help me solve this and explain to me how they solved it/

    asked by Tonya on September 2, 2014
  4. SAT math

    1. x>15-2x / -3 Solve the linear inequality. Write the solution in set builder notation. So, -3x>15-2x, x

    asked by mysterychicken on June 1, 2013
  1. algebra

    2a+3b-4c=7, a-b+2c=6 a) find an ordered triple of numbers (a,b,c) that satisfies both equations b) can you find a second ordered triple that satisfies both equations c) solve for b in terms of a, and solve for c in terms of a. how

    asked by Anonymous on August 2, 2019
  2. math

    Twenty-four less than three times x is equal to the product of five and x.Find x.solve show steps to solve

    asked by Anonymous on December 5, 2012
  3. math

    1. Which of the following could be represented by -8? a. a drop of 8 meters b. 8 t shirts c. sea levels in 8 places of the world d. 8°C above zero 2. compare. use 5+(-4)____-14 + (-7) a. = b. < c. > 3. Order the integers from

    asked by ayesha on March 26, 2020
  4. Algebra 1

    1). Last week, the ratio of laptops to desktops sold at a computer store was 2:3. Eighteen desktop models were sold. How many laptop models were sold? A: 12 laptop models were sold. 2). Find the unite rate: twenty-six crackers

    asked by Anonymous on October 2, 2013

You can view more similar questions or ask a new question.