Diketahui x1 dan x2 merupakan akar akar dari persamaan kuadrat 3x^2 + 5x + m = 0 jika x1^2 + x2^2 = 5 maka nilai m adalah

[Persamaan Kuadrat]

3x² + 5x + m = 0

Berdasarkan Teorema Vietta
X1 + X2 = -b/a
X1 + X2 = -5/3

X1 . X2 = c/a
X1 . X2 = m/3

Maka...
X1² + X2² = 5
(X1 + X2)² - 2(X1 . X2) = 5
(-5/3)² - 2(m/3) = 5
25/9 - (2m)/3 = 5
25 - 6m = 45
6m = 25 - 45
6m = -20
m = -20/6 = -10/3

semoga membantuuuuuuuuuuuuuuu