14. Persamaan kuadrat 5×2 + 2x – 3 = 0 mempunyai akar-akar a dan B. Maka persamaan kuadrat baru yang

– persamaan kuadrat

5x² + 2x – 3 = 0

a = 5, b = 2, c = -3

x1 + x2 = -b/a

= -2/5

x1.x2 = c/a

= -3/5

α + β = (a + b) + (a.b)

= -2/5 + -3/5

= -5/5

= -1

α.β = (a + b) (a.b)

= -2/5 . -3/5

= 6/25

persamaan kuadrat barunya :

x² – (x1 + x2)x + (x1.x2) = 0

x² – (-1)x + (6/25) = 0

5x² + 5x + 6 = 0