1. selesaikan dg kuadrat sempurna 2x² - 7x - 6 = 0 .. 2. susunlah pk yg akar a ( 5 +√3) dan ( 5 - √3)..

1.

2x² - 7x - 6 = 0
x² - 7/2 x - 3 = 0
x² - 7/2 x = 3
(x - 7/4)² = 3 + 49/16
(x - 7/4)² = 97/16
x  - 7/4  = +_ 1/4√97
x  = 7/4 +_ 1/4 √97
x1 = 1/4 ( 7+ √97)
x2 = 1/4 (7 - √97)


2. akar akar {PK baru  p dan q
p = 5 +√3
q = 5 - √3
p+q = 10
pq =(25 -3) = 22

pK baru = y = x² - (p+q) x + p q = 0
 x² - 10 x + 22 = 0