Will give brainliest to whoever answers correctly WITH WORK SHOWN The formula c=√(a^2+4b^2 ) Solve the equation for b. That mea

Question

Will give brainliest to whoever answers correctly WITH WORK SHOWN
The formula c=√(a^2+4b^2 ) Solve the equation for b. That means get “b” all by itself on one side of the equation. Show your work. Show steps.

in progress 0
Alaia 4 weeks 2021-09-26T16:04:16+00:00 1 Answer 0

Answers ( )

    0
    2021-09-26T16:05:30+00:00

    Answer:

    b=\pm \dfrac{\sqrt{c^2-a^2}}{2}

    Step-by-step explanation:

    Given the expression

    c=\sqrt{a^2+4b^2}

    To solve the equation for b, first express b^2. Square given expression:

    c^2=(\sqrt{a^2+4b^2})^2\\ \\c^2=a^2+4b^2\\ \\a^2+4b^2=c^2\\ \\4b^2=c^2-a^2\\ \\b^2=\dfrac{c^2-a^2}{4}

    Now take the square root:

    b=\pm \sqrt{\dfrac{c^2-a^2}{4}}\\ \\b=\pm \dfrac{\sqrt{c^2-a^2}}{2}

Leave an answer

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