Please help. 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. Sh

Question

Please help. 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.

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Madelyn 3 weeks 2021-09-26T03:25:22+00:00 1 Answer 0

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    2021-09-26T03:26:29+00:00

    Answer:

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

    Step-by-step explanation:

    The formula is

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

    Square both sides to get

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

    Subtract a² from both sides:

    c^{2} - {a}^{2}   =  4 {b}^{2}

    Divide both sides by 4)

     \frac{  {c}^{2} -  {a}^{2}}{4}  = \frac{  {4b}^{2} }{ 4}

    Simplify on the right;

    \frac{  {c}^{2} -  {a}^{2}}{4}={b}^{2}

    Take square root

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

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

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