Algebra 2

posted by .

Complete the square and write in graphing form.
2x^2=5x+12

  • Algebra 2 -

    2 x ^ 2 = 5 x + 12

    Subtract 5 x + 12 to both sides

    2 x ^ 2 - ( 5 x + 12 ) = 5 x + 12 - ( 5 x + 12 )

    2 x ^ 2 - 5 x - 12 = 0 Divide both sides by leading coefficient ( 2 )

    x ^ 2 - 5 x / 2 - 6 = 0 Add 6 to both sides

    x ^ 2 - 5 x / 2 - 6 + 6 = 0 + 6

    x ^ 2 - 5 x / 2 = 6

    ________________________________________

    Take one half of the coefficient of x and square it.

    In this case [ ( 5 / 2 ) / 2 ] ^ 2 = ( 5 / 4 ) ^ 2 = 25 / 16
    ________________________________________

    Add 25 / 16 to both sides

    x ^ 2 - 5 x / 2 + 25 / 16 = 6 + 25 / 16

    ________________________________________

    Remark :

    x ^ 2 - 5 x / 2 + 25 / 16 = ( x - 5 / 4 ) ^ 2


    6 = 96 / 16
    ________________________________________

    ( x - 5 / 4 ) ^ 2 = 96 / 16 + 25 / 16

    ( x - 5 / 4 ) ^ 2 = 121 / 16

    x - 5 / 4 = + OR - sqrt ( 121 / 16 )

    x - 5 / 4 = + OR - 11 / 4 Add 5 / 4 to both sides

    x - 5 / 4 + 5 / 4 = + OR - 11 / 4 + 5 / 4

    x = + OR - 11 / 4 + 5 / 4


    x1 = 11 / 4 + 5 / 4 = 16 / 4 = 4

    x2 = - 11 / 4 + 5 / 4 = - 6 / 4 = - 3 / 2

    For graph go on :

    wolframalpha dot com

    When page be open in rectangle type :

    2 x ^ 2 = 5 x + 12

    and click option =

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra2 again

    How do you: Complete the square as an aid in graphing. [I put exponents in ().] y = x(2) + 4x - 2 Please Help?
  2. Advanced Algebra

    I some problems that I need help with please. Add or subtact as indicated and write the results in standard form. 4. 6-(-5+7i)-(7-2i) Divide and express the result in standard form. --These problems I don't understand, do you have …
  3. Algebra

    write in form y=a(x-h)^2+k y=x^2-x-9 (x^2-2x)-9 complete the square (x^2+2x+1-1)-9 (x^2+2x+1)-1-9 (x+1)^2-9
  4. Another algebra

    Write the equations of four lines that intersect to form a square whose sides are not parallel to the axes. Where would I start, and how would I complete this?
  5. Algebra (urgent!)

    Write the equations of four lines that intersect to form a square whose sides are not parallel to the axes. Where would I start, and how would I complete this?
  6. urgent math

    complete the square to write each function in the form f(x)=a(x-h)^2+k f(x)=2x^2-20x-3
  7. Algebra

    Complete the square to form a perfect square trinomial. X^2+4x+____ How do I do this?
  8. Algebra 2

    Complete the square and write in graphing form. 2X^2=5x+12
  9. Algebra 2

    Find the vertex of each of the following parabolas by averaging the x intercept. Then write each equation in graphing form. Y=(x-3)(x-11)
  10. Algebra 2

    Find the vertex of each of the following parabolas by averaging the x intercepts. Then write each equation in graphing form. Y=x^2-14x+40

More Similar Questions