Steps for Solving Quadratics

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• 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.

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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

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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

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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.

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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?

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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

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Lauren visited Marisa's home. She noticed this picture in her Remote Learning Scrapbook. What is this?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

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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.

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What are the steps to complete the square for solving quadratics?

• The steps to complete the square for solving quadratics are: Write the quadratic equation in the form ax^2 + bx + c = 0. Move the constant term (c) to the other side of the equation. Divide the coefficient of x (b) by 2 and square it. Add the squared term to both sides of the equation. Factor the perfect square trinomial on the left side of the equation. Take the square root of both sides of the equation. Solve for x by isolating it on one side of the equation. Simplify and write the solutions.

• Write the quadratic equation in the form ax^2 + bx + c = 0. Move the constant term (c) to the other side of the equation. Divide the coefficient of x (b) by 2 and square it. Add the squared term to both sides of the equation. Factor the perfect square trinomial on the right side of the equation. Take the square root of both sides of the equation. Solve for x by isolating it on one side of the equation. Simplify and write the solutions.

• Write the quadratic equation in the form ax^2 + bx + c = 0. Move the constant term (c) to the other side of the equation. Divide the coefficient of x (b) by 2 and square it. Subtract the squared term from both sides of the equation. Factor the perfect square trinomial on the right side of the equation. Take the square root of both sides of the equation. Solve for x by isolating it on one side of the equation. Simplify and write the solutions.

• Write the quadratic equation in the form ax^2 + bx + c = 0. Move the coefficient of x (b) to the other side of the equation. Divide the constant term (c) by 2 and square it. Subtract the squared term from both sides of the equation. Factor the perfect square trinomial on the left side of the equation. Take the square root of both sides of the equation. Solve for x by isolating it on one side of the equation. Simplify and write the solutions.

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