Question 918654
{{{x^2=sqrt(2x+3)}}}
{{{x^4=2x+3}}}
{{{x^4-2x-3=0}}}
{{{(x+1)(x^3-x^2+x-3)=0}}}
Two solutions.
{{{x+1=0}}}
{{{x=-1}}}
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{{{graph(300,300,-3,3,-3,3,x^3-2x-3)}}}
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For the second solution, use Newton's method in EXCEL with a starting value of {{{x=1}}}.
 *[illustration newt.JPG].
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{{{x=1.574743}}}