" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Verified answer
Persamaan Kuadrat3x² - 12x + 2 = 0
a = 3 , b = -12 , c = 2
Akar - akarnya α dan β ,,,
α + β = -(-12) / 3 = 4
αβ = ⅔
Misal akar - akar barunya m dan n , dengan m = α + 2 dan n = β + 2 , Maka :
m + n = α + 2 + β + 2 = (α + β) + 4
= 4 + 4
= 8
mn = (α + 2)(β + 2) = αβ + 2(α + β) + 4
= ⅔ + 2(4) + 4
= ³⁸/₃
Persamaan baru :
x² - (m + n)x + mn = 0
x² - 8x + ³⁸/₃ = 0 [× 3]
3x² - 24x + 38 = 0