x^2 + 1/2 x + __ = 2 + __ Completing the square

Question

x^2 + 1/2 x + __ = 2 + __

Completing the square

in progress 0
Autumn 3 weeks 2021-10-07T16:49:33+00:00 2 Answers 0

Answers ( )

    0
    2021-10-07T16:51:26+00:00

    Answer:

    (x+\frac{1}{4} ) ^{2}=(\frac{\sqrt{33} }{4}) ^{2}

    Step-by-step explanation:

    x^{2} +\frac{1}{2} x+...=2+...\\\\x^{2} +2\frac{1}{4} x+(\frac{1}{4})^{2}  =2+(\frac{1}{4})^{2} \\\\(x+\frac{1}{4} ) ^{2}=2+\frac{1}{16}  \\\\(x+\frac{1}{4} ) ^{2}=\frac{33}{16}\\}\\(x+\frac{1}{4} ) ^{2}=(\frac{\sqrt{33} }{4}) ^{2}

    0
    2021-10-07T16:51:28+00:00

    Answer:

    x^2 + 1/2 x + 1/16 = 2 + 1/16.

    Step-by-step explanation:

    The missing value is (1/2 / 2 )^2 =  (1/4)^2 = 1/16.

    because ( x + 1/4)^2 = x^2 + 1/2 x + (1/4)^2.

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )