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  • Quadratic Equations, Inequalities, and Functions
  • Solving Quadratic Equations
  • Solving quadratic equation by completing the square

Solving quadratic equation by completing the square

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  • Question 1:
    1 pts
    		The trinomial x2−16x+4x^2-16x+4 is a perfect square.
  • Question 2:
    1 pts
    		What number must be added in the expression x2+4x+?x^2+4x+? to make a perfect square trinomial:

    ?=16? = 16

    ?=2? = 2

    ?=4? = 4

    ?=8? = 8

  • Question 3:
    1 pts
    		What number must be added in the expression x2−20x+?x^2-20x+? to make a perfect square trinomial:

    ?=10? = 10

    ?=20? = 20

    ?=100? = 100

    ?=400? = 400

  • Question 4:
    1 pts
    		What number must be added in the expression x2−10x+?x^2-10x+? to make a perfect square trinomial:

    ?=5? = 5

    ?=10? = 10

    ?=25? = 25

    ?=50? = 50

  • Question 5:
    2 pts
    		Solve x2+4x=0x^2+4x=0 by completing the square.
    x1=0,x2=4x_1=0, x_2=4
    x1=2,x2=4x_1=2, x_2=4
    x1=0,x2=−4x_1=0, x_2=-4
  • Question 6:
    2 pts
    		Solve x2+6x=7x^2+6x=7 by completing the square.
    x1=1,x2=−7x_1=1, x_2=-7
    x1=−1,x2=7x_1=-1, x_2=7
    x1=−1,x2=−7x_1=-1, x_2=-7
    x1=1,x2=7x_1=1, x_2=7
  • Question 7:
    3 pts
    		Solve x2+2x=−2x^2+2x= -2 by completing the square.
    x1=1,x2=−1x_1=1, x_2=-1
    x1=−i,x2=ix_1=-i, x_2=i
    x1=−1+i,x2=−1−ix_1=-1+i, x_2=-1-i
    x1=1+i,x2=1−ix_1=1+i, x_2=1-i
  • Question 8:
    3 pts
    		Solve x2−5x=14x^2-5x= 14 by completing the square.
    x1=−2,x2=7x_1=-2, x_2=7
    x1=2,x2=−7x_1=2, x_2=-7
    x1=2/7,x2=−7/2x_1=2/7, x_2=-7/2
  • Question 9:
    3 pts
    		Solve 2x2+5x−7=02x^2+5x-7=0 by completing the square.
    x1=−1,x2=−7/2x_1=-1, x_2=-7/2
    x1=1,x2=−7/2x_1=1, x_2=-7/2
    x1=1,x2=7/2x_1=1, x_2=7/2
    x1=−1,x2=7/2x_1=-1, x_2=7/2

Solving quadratic equations

Graphing function and discriminant