Solving Quadratic Equations

• Stop solving and write "no solution" as his answer.

• Simplify the numerator by simplifying the radical

• Factor out a negative one from the numerator to continue simplifying

• No further steps are needed.  This is the final answer.

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

Tarae, Charlotte, and Odaluis decide to work on the same quadratic equation using three different methods: solving by factoring, completing the square, and solving by the Quadratic Formula. What will the result be?

• They will get the same solutions from the factoring and completing the square, but a different solution when using the Quadratic Formula.

• All three solutions will be different.

• All three solutions will be the same.

• They will get the same solutions from using the Quadratic Formula and Completing the Square, but a different answer from solving by factoring.

Tags

CCSS.HSA-REI.B.4B

Jareem, a Quadratic Formula Ninja, is helping his little sister solve an equation by the Quadratic Formula. Here is her work: 4x^2-12x-112=0 x= - (? ) ± √ (-12)^2-4(4)(-112) 2(4) What number value is missing in this step?

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B

ax²+bx+c=0  is the standard form of a quadratic equation.

• True

• False

Answer explanation

Tags

CCSS.HSA-REI.B.4B

• A (-2,0) (2,0)

• B (-2,0) (1,-3)

• C (0,-2) (-3,1)

• D (0,-4) (0,-2)

Tags

CCSS.HSA.REI.C.7