Solving Quadratics Different Methods

Dymond is using the Quadratic Formula to solve this equation: x^2+8x-4=10x+1 
First she decides to identify her a, b, and c values. What is the b value of this equation?

Jessua chooses to factor the following quadratic in order to solve:x^2-14x+49=0 He gets (x-7)^2=0 What does this step tell Jessua about the number of x-intercepts that this quadratic has?

• One

• Two
  

• Zero

Yadiel, Elijah, and Jonathan were making a video on Completing the Square. What is their first step to solving this equation?

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

Lised tells Jazmin that solving a quadratic by the Completing the Square method will give you the same solutions as when you solve the same problem using the Quadratic Formula. Is she correct?

• No, Lised is not correct because only Factoring and Completing the Square result in the same solution.

• Yes, Lised is correct because all methods of solving quadratics result in the same solutions.

• Yes, Lised is correct is because Completing the Square and the Quadratic Formula result in the same solution.

• No, Lised is not correct because the three methods of solving quadratics will result in three different solutions.

Curtis, Cadeen, Billal, and Billol are competing for the Complete-the-Square-King Crown of 2020. What is the first step they will take to complete the square in this equation: 5x^2+20x-37=7 

• Add 37 to both sides of the equation

• Factor GCF of 7

• Set the equation equal to zero
  

• Identify the a, b, & c values to be substituted into the Complete the Square formula

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

7x² - 26x - 8 = 0

• x = -1 and x = -7/8

• x = 4 and x = -2/7

• x = -4 and x = 2/7

• x = 4 and x = -7/2

Suzie solves the equation below:
x² + 4x - 12 = 2
(x - 2)(x + 6) = 2, 
by setting x -2 = 0 and x + 6 = 0. 
Her solutions are x = 2 and x = -6.
Is Suzie correct? Why or why not?

• Yes, she factored correctly and then used the zero product property

• Yes, she factored correctly and then square rooted.

• No, she did factor correctly, but she can't use the zero product property as shown.

• No, she didn't factor correctly so the rest of her work is wrong. 

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4

• 2

• 8

• 20

Which is a zero of the graph?

• 0

• -1

• 1.5

• -3