Question 987852
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The equation is 


{{{6x}}} - {{{7*sqrt(x)}}} - {{{3}}} = {{{0}}}.     ---->


{{{6x}}} - {{{3}}} = {{{7*sqrt(x)}}}.     Square both sides ----->


{{{36x^2}}} - {{{36x}}} + {{{9}}} = {{{49x}}},


{{{36x^2}}} - {{{85x}}} + {{{9}}} = {{{0}}},


Apply the quadratic formula:


{{{x[1,2]}}} = {{{(85 +- sqrt(85^2 - 4*36*9))/72}}} = {{{(85 +- 77)/72}}}.


{{{x[1]}}} = {{{(85 + 77)/72}}} = {{{2}}}{{{1/4}}} = {{{2.25}}}. 


{{{x[2]}}} = {{{(85 - 77)/72}}} = {{{8/72}}} = {{{1/9}}}.


<B>Answer</B>. &nbsp;{{{x[1]}}} = {{{2.25}}}; &nbsp;{{{x[2]}}} = {{{1/9}}}.