4. Jika x₁ dan x2 adalah akar-akar dari persamaan kuadrat 2x² – 8x + 7 = 0, nilai x₁² + x₂² adalah​

4. Jika x₁ dan x2 adalah akar-akar dari persamaan kuadrat 2x² – 8x + 7 = 0, nilai x₁² + x₂² adalah​

PERsamaan Kuadrat
ax² + bx+ c =0
rumus  jumlah dan  hasil kali  akar

 

Penjelasan dengan langkah-langkah:

Jika x₁ dan x2 adalah akar-akar dari persamaan kuadrat
2x² – 8x + 7 = 0, nilai x₁² + x₂² adalah​

 

2x² – 8x + 7 = 0
a= 2, b = -8,  c= 7
x1 + x2 = -b/a =  -(-8)/2 = 4

x1. x2=  c/a = 7/2

 

nilai  x₁² + x₂²=
=  (x₁ + x₂)² – 2 x₁ x₂
= (4)²- 2 (7/2)
= 16 – 7
= 9

 

 

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