Mathematics

Problem

(t+1)^2+c=0

In the equation above,

c

is a constant. The equation has solutions at

t=\frac{3}{2}

and

t=-\frac{7}{2}

. What is the value of

c

? A.

-\frac{729}{4}

-\frac{121}{4}

-\frac{25}{4}

-1