APFIVE Solving a Rational and Radical Equation
Solve for $$t$$ in the equation
$$\frac{2*t^2+5*t+3}{t+1}=4+\sqrt{2*t+3}.$$
(Hint: Notice that the numerator factors perfectly.)
A
$$t=\frac{\sqrt{17}-3}{4}$$
B
$$t=\frac{-3-\sqrt{17}}{4}$$
C
$$t=\frac{-3+\sqrt{44}}{4}$$
D
$$t=\frac{-3+\sqrt{17}}{4}$$
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