Solve the following quadratic by completing the square. f(x) = x2 – 20x + 41

Question

Solve the following quadratic by completing the square.

f(x) = x2 – 20x + 41

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Melanie 4 months 2021-09-26T15:02:15+00:00 1 Answer 0 views 0

Answers ( )

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    2021-09-26T15:03:32+00:00

    Answer:

    x=\left \{ {{10+\sqrt{59}} \atop {10-\sqrt{59}}} \right.

    Step-by-step explanation:

    x^2-20x+41=0

    (x-10)^2-10^2+41=0

    (x-10)^2-59=0

    (x-10)^2=59

    (x-10)=\left \{ {{\sqrt{59}} \atop {-\sqrt{59}}} \right

    x=\left \{ {{10+\sqrt{59}} \atop {10-\sqrt{59}}} \right.

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