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• Quadratic Equations, Inequalities, and Functions
• 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.
 $x_1=-1, x_2=-7/2$ $x_1=1, x_2=-7/2$ $x_1=1, x_2=7/2$ $x_1=-1, x_2=7/2$