Solving a Rational and Radical Equation

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Which of the following is a solution to the equation $\frac{2t^2+5t+3}{t+1}=4+\sqrt{2t+3}$ ?

$t=\frac{-3+\sqrt{17}}{4}$

$t=\frac{-3-\sqrt{17}}{4}$

$t=\frac{\sqrt{17}-3}{4}$

$t=\frac{-3+\sqrt{44}}{4}$

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