Solve the system of equation (only real solutions) by the elimination method. Check your solutions. x² + y^2 + 2x = 25
x² + 4y^2 + 3x = 32

9514 1404 393

  (-17/3, -√38/3), (-17/3, √38/3), (4, -1), (4, 1)

Step-by-step explanation:

We can subtract the second equation from 4 times the first to obtain a quadratic in x, with y eliminated.

  4(x² +y² +2x) -(x² +4y² +3x) = 4(25) -(32)

  3x² +5x -68 = 0 . . . . . simplify to standard form

  (3x +17)(x -4) = 0 . . . . . factor

  x = -17/3, +4 . . . . . . . . . solutions that make the factors zero

The corresponding values of y can be found from ...

  y = ±√(25 -x(2 +x)) . . . . solve the first equation for y

For x = -17/3, we get ...

  y = ±√(25 -(-17/3)(2 -17/3)) = ±√(38/9) = ±(√38)/3 ≈ ±2.05480

For x = 4, we get ...

  y = ±√(25 -4(2 +4)) = ±1

__

The solutions are ...

  (-17/3, -√38/3), (-17/3, √38/3), (4, -1), (4, 1)

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.