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

    $? = 16$

    $? = 2$

    $? = 4$

    $? = 8$

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

    $? = 10$

    $? = 20$

    $? = 100$

    $? = 400$

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

    $? = 5$

    $? = 10$

    $? = 25$

    $? = 50$

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

Solving quadratic equations

Graphing function and discriminant