find value of t given 9x2+tx+16 is a perfect square

(3x+4)^2 = 9x^2 + 24x + 16

the expression is in the form of ax^2+bx+c, where a=9, b=t and c=16

thus, b^2=4ac
t^2=4×9×16
t^2=576
t=24