Question

Tolong di bantu yaa
ini urgent

Answer 1

X² + 2x - 20 = 0 ; akar2 x₁ dan x₂

x₁² + x₂² - 2x₁.x₂ = (x₁-x₂)²
                         = (√D)²
                         = b² - 4.a.c
                         = 2² - 4.1.(-20)
                         = 4 + 80
                         = 84.................opsi E

Answer 2

16.
x² + 2x - 20 = 0
x1+x2 = -b/a = -2/1= 2
x1 x2 = c/a  - 20/1 = - 20

x₁² + x₂² - 2x1 x2 = (x₁ + x₂)² - 4(x₁.x₂)
= 2² - 4(-20)
= 84

17.
PKL --> 3x² + 2x + 6 = 0 ,akarakarnya α dan β
α+ β= - 2/3
α.β  = 6/3 = 2

PKB akarnya p= α³β² dan q = α²β³
p+q = α³β²+ α²β³  = (α.β)² (a+b) = 2² (-2/3) = -8/3
p q = α³β² (α²β³) = (αβ)⁵ = 2⁵ = 32

PKB = x² - (p+q)x + (p.q)  = 0
x² - (-8/3) x + (32)=0 ......kalikan 3
3x² + 8x + 96 = 0