SOLVE QUADRATIC EQUATIONS

Document Sample
SOLVE QUADRATIC EQUATIONS Powered By Docstoc
					SOLVE QUADRATIC EQUATIONS

  1.   Give exact and approximate solutions to three decimal places. y 2 2 y  1  81
  2.   Solve by completing the square x 2 22x  10
  3.   Solve by completing the square x 2 9 x  10  0
  4.   Solve
          A) 3x 2 7 x  13  0
          B) find the x-intercepts of f(x)=3x 2 7 x  13


  5. Solve for x
     2(x-4)-(x+2) =(x+2) (x-4)
  6. The flower garden has the shape of a right triangle. 10ft. of a perennial border
      forms the hypotenuse of the triangle and one leg is 2ft. longer than the other leg.
      Find the length of the legs.
                                        10b
  7. Solve for the indicated letter R= 2 for C
                                          c
  Choose the correct expression for C
     10b          10 b          R         10b
  a.         b.            c.        d. (
      R            R           10 B         R

  8. Determine the nature of the solution of the equation x 2 12 x  36  0
  What does the equation have a.) two non-real solutions b.) two real solutions c.) one
  real solution
  9. Determine the nature of the solutions of the equation 4x 2 8x  4  0
   The equation has a) one real solution b) two non-real solutions c) two real solutions
  10. Write a quadratic equation having the given numbers as solutions -5 and -2
  11. Write a quadratic equation in the variable x having the given numbers as solutions.
      Type the equation in standard form, ax 2 bx  c  0
  Solution: 4, only solution

  12. Solve w 4 6w 2  2  0
  13. Write a quadratic equation in the variable x having the given numbers as solutions.
      Type the equation in standard form ax 2 bx  c  0
      - 2 ,8 2

  14. Solve the formula for the given letter. Assume all variable represent non-negative
      numbers. a 2  r 2  f 2 , for a
       Choose the correct value for a
       a) f 2  r 2 b) f 2 - r 2 c) - f 2  r 2 d) Not given
  15. During the first part of a trip a canoeist travels 69 miles at a certain speed. The
  canoeist travels 17 miles on the second part of the trip at a speed of 5mph slower. The
  total time for the trip is 2hrs. what was the speed on each part of the trip?
16. Solve x  2  4
17. Solve 9 x  55  x  5
18. Give exact and approximate solutions to three decimal places x 2 3x  7  0
19. Solve for r r 2 3r  6
20. Write a quadratic equation in the variable y having the given numbers as solutions.
Type the equation in standard form, ax 2 bx  c  0
Solution: 1, only solution