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Equating Parametric Components

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A particle’s position is described by the parametric equations below.
x(t)=t2+6∗t+8t+2andy(t)=t2+6∗t+9x(t)=\frac{t^2+6*t+8}{t+2} \quad \text{and} \quad y(t)=\sqrt{t^2+6*t+9}
For what value of the parameter tt is x(t)=y(t)x(t)=y(t)?

A

t=−135t=-\frac{13}{5}

B

t=135t=\frac{13}{5}

C

t=−133t=-\frac{13}{3}

D

t=133t=\frac{13}{3}

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