Question

Vă rog!! Am mare nevoie de ajutor! Dau coroană! Vă rog mult de tot!! Doar f, g și h.

Answer 1

f) abx²-(a+b)x+1=0
calculam Δ=(a+b)²-4ab=a²+2ab+b²-4ab=a²-2ab+b²=(a-b)²

x1=[(a+b)+(a-b)]/2ab=1/b
x2=[(a+b)-(a-b)]/2ab=1/a

g) 2mx²+(1-2m²)x-m=0
calculam Δ=(1-2m²)²+4*2m*m=1-4m²+4m^{4}+8m²=1+4m²+4m^{4}=(1+2m²)²
x1=[-(1-2m²)+(1+2m²)]/4m=(-1+2m²+1+2m²)/4m=4m²/4m=m
x2=[-(1-2m²)-(1+2m²)]/4m=(-1+2m²-1-2m²)/4m=-2/4m=-1/2m

h) Facem inmultirile, aducem la acelasi numitor si vom avea urmatoarea ecuatie
10x²-93x-70=0
Δ=8649+2800=11449=107²
x1=(93+107)/20=10
x2=(93-107)/20=-14/20= - 7/10