AlgMap-11.8
\(x\) = [[input:ans]] [[validation:ans]]]]> To rearrange formulae perform operations to both sides of the formula to obtain an equation with \(x\) as the subject. \[ a={@b*sqrt(x)@}. \] To remove the surd, square both sides of the equation: \[ {@a^2@} = {@b^2*x@}. \] Divide by \({@b^2@}\): \[ {@a^2/b^2@} = {@x@}. \] Now you have an equation for \(x\). 1 0.1 0 ta:a^2/b^2; [[feedback:prt1]]

]]> \[a={@b*sqrt(x)@} \Rightarrow x = {@ta@}. \] 1 1 0 *10 none 1 i cos-1 lang [ 0 {"author":[{"firstName":"Tony","lastName":"Barnard","institution":"","year":"1999"}],"language":["en"],"isPartOf":"STACK Library - Algebra Refresher","license":"cc-sa-4.0","additional":{"UoE":{"Notes":"This is automatically generated metadata."}},"freeform":{}} ans algebraic ta 15 1 0 0 1 1 1 1 1 prt1 1.0000000 1 1 0 AlgEquiv ans ta 0 = 1.0000000 -1 1-0-T = 0.0000000 -1 1-0-F 1 ans ta prt1 1.0000000 0.0000000 1-0-T 2 ans (a/b)^2 prt1 1.0000000 0.0000000 1-0-T