15t 32t 7 0 The solution s isare Simplify your answer Use a

15t- 32t 7 0 The solution (s) is/are (Simplify your answer. Use a comma to separate answers as needed. Express complex numbers in terms of i. Type each solution only once.)

Solution

15t²+32t -7=0

using quadratic formula:ax^2 +bx +c =0 ==>x=[-b+(b²-4ac)]/(2a),x=[-b-(b²-4ac)]/(2a)

a=15 ,b=32,c=-7

t=[-32+(32²-4*15*(-7))]/(2*15),t=[-32-(32²-4*15*(-7))]/(2*15)

t=[-32+(1024+420)]/(30),t=[-32-(1024+420)]/(30)

t=[-32+1444]/(30),t=[-32-1444]/(30)

t=[-32+38]/(30),t=[-32-38]/(30)

t=6/(30),t=-70/(30)

t=1/5 , t=-7/3

the solutions are -7/3 ,1/5