complete the steps of the derivation of the quadratic formula step 1: (x+b/2a)^2-b^2-4ac/4a^2=0

Question

complete the steps of the derivation of the quadratic formula step 1: (x+b/2a)^2-b^2-4ac/4a^2=0
complete the steps of the derivation of the quadratic formula

in progress 0
2022-04-28T20:33:29+00:00 2 Answers 0

Answers ( 2 )

  1. Mary
    0
    2022-04-28T20:34:41+00:00

    Answer:

    The final solution of the quadratic equation is

    [tex]x=frac{-bpmsqrt{b^2-4ac}}{2a}[/tex]

    Step-by-step explanation:

    Given : The steps of the derivation of the quadratic formula

    Step 1: [tex](x+frac{b}{2a})^2-frac{b^2-4ac}{4a^2}=0[/tex]

    To find : Complete the steps.

    Solution :

    Step 1: Write the expression

    [tex](x+frac{b}{2a})^2-frac{b^2-4ac}{4a^2}=0[/tex]

    Step 2: Re-write the expression

    [tex](x+frac{b}{2a})^2=frac{b^2-4ac}{4a^2}[/tex]

    Step 3 : Square Root both side

    [tex](x+frac{b}{2a})=sqrt{frac{b^2-4ac}{4a^2}}[/tex]

    Step 4: Simplifying we get

    [tex]x+frac{b}{2a}=frac{sqrt{b^2-4ac}}{2a}[/tex]

    Step 5: Make x the subject

    [tex]x=frac{sqrt{b^2-4ac}}{2a}-frac{b}{2a}[/tex]

    Therefore, The final solution of the quadratic equation is

    [tex]x=frac{-bpmsqrt{b^2-4ac}}{2a}[/tex]

  2. Valentina
    0
    2022-04-28T20:35:10+00:00

    (x+b/2a)^2-(b^2-4ac)/2a=0
    Step 2:
    Re-write the expression:
    (x+b/2a)^2=(b^2-4ac)/4a^2

    Step 3:
    get the square root of both sides:
    x+b/2a=sqrt[(b^2-4ac)/4a^2]

    Step 4:
    Simplifying we get:
    x+b/2a=sqrt[b^2-4ac]/2a

    Step 5
    Make x the subject:
    x=-b/2a+/-sqrt[b^2-4ac]/2a

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