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Answer:
x = (2+√10)/ 3 and x= (2-√10/3)
Step-by-step explanation:
g(x) = -3x² +4x +2
use the quadratic formula x= (-b±√b²-4ac)/2a, when g(x) = ax² +bx +c
x= [-4 ±√4²-4*(-3)*2] / 2*(-3) , solve under the square root
x= (-4 ± √16 +24) / -6 , add under the radical
x= (-4 ±√40) / -6, simplify the square root
x= (-4 ±2√10) /-6, factor -2
x= -2 (2±√10)/-2 *3, simplify -2
x= (2±√10)/3
Therefore,
x = (2+√10)/ 3 and x= (2-√10/3)
Answer:
an = 80. 2^(n-5)
Step-by-step explanation:
r = a6/a5 =160/80 = 2
an = a5. r^(n-5)
= 80. 2^(n-5)