Question 1136032

{{{0.4=0.8(vgsq-1.2)^2}}} solve for {{{vgsq }}}


{{{0.4=0.8(vgsq-1.2)^2}}}.....switch sides


{{{0.8(vgsq-1.2)^2=0.4}}}...both sides multiply by {{{10}}}

{{{10*0.8(vgsq-1.2)^2=10*0.4}}}

{{{8(vgsq-1.2)^2=4}}}

{{{(vgsq-1.2)^2=4/8}}}

{{{(vgsq-1.2)^2=1/2}}}...........take sqrt of both sides

{{{sqrt((vgsq-1.2)^2)=sqrt(1/2)}}}

{{{vgsq-1.2=sqrt(1/2)}}}

{{{vgsq}}}=±{{{1/sqrt(2)}}}+{{{1.2}}}


solutions:

{{{vgsq=1/1.414213562373095+1.2}}}

{{{vgsq=1.907106781}}}...round to three decimal places

{{{vgsq=1.907}}}
 

or

{{{vgsq=1/-1.414213562373095+1.2}}}

{{{vgsq=0.49289321881}}}...round to three decimal places

{{{vgsq=0.493}}}