algebra 1

Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring.

−b b2 − 4ac 2a

Use the part of the quadratic formula that you chose above and find its value, given the following quadratic equation:

4x^2 + 6x + 2 = 0

  1. 👍
  2. 👎
  3. 👁
  1. the part of b^2-4ac is called the "determinant" since it determines the properties of your roots.
    in your case b^2 - 4ac = 36-4(4)(2) = 4
    so you have 2 distinct real roots.
    Not only that, since 4 is a perfect square, your roots will be rational.
    And since the roots are rational, I bet your quadratic WILL factor.
    What a neat relationship!!

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    Unit 4: Quadratic Functions and Equations Lesson 6: The Quadratic Formula and the Discriminant 1.) a=5, b=9, c=-4 2.) C 3.) No solution 4.) x=-2, x=1.25 5.) x=-9, x=3 6.) quadratic formula 7.) 2 8.) 11cm by 16cm

  2. algebra 2

    a quadratic equation can be written in vertex form or in standard form. sometimes one form is more beneficial than the other. identify which form would be more helpful if you needed to do each task listed below and explain why. a.

  3. math

    Heather is solving an equation by graphing the expressions on both sides. If her graph intersects at an infinite number of points, which statement could describe the equation Heather is attempting to solve? A. One side of the

  4. Algebra

    −2y^2−6y+7=0 step 2 of 2 : Use the discriminant, b2−4ac, to determine the number of solutions of the given quadratic equation. Then solve the quadratic equation using the formula y=−b±sqrt(b2−4ac)/√2a.

  1. Algebra

    Please Help! Given the following three points, find by hand the quadratic function they represent. (−1,−8), (0,−1),(1,2) A. f(x)=−3x2+4x−1 B. f(x)=−2x2+5x−1 C. f(x)=−3x2+10x−1 D. f(x)=−5x2+8x−1 Determine if

  2. Algebra

    What method(s) would you choose to solve the equation? Explain your reasoning. 4x^2-48=0 a. Quadratic formula, graphing; the equation cannot be factored easily since the numbers are large. Selected:b. Square roots; there is no

  3. algerba

    What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = −2x2 − 3x + 8, and what does it mean about the number of real solutions the equation has? What are the solutions to the quadratic equation 4(x +

  4. algebra 2

    A quadratic equation can be written in vertex form or in standard form. Sometimes one form is more beneficial than the other. Identify which form would be more helpful if you needed to do each task listed below and explain why a.

  1. Math

    a) Explain the relationship between the axis of symmetry and the quadratic formula. b) We know that the quadratic formula can be used to determine the roots of a quadratic function. However, the quadratic formula also reveals how

  2. algebra

    Solve this quadratic equation using the quadratic formula. x^2 + 8x - 5 = 0

  3. math algebra

    Part 1: Which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring and why? 1. −b 2. b2 − 4ac 3. 2a Part 2: Create your own quadratic equation. Using complete sentences, and your

  4. Algebra

    Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula. (Enter your answers as a comma-separated

You can view more similar questions or ask a new question.