Question

3.Rezolvati in R ecuatiile :
c)x²-12x+36=3
e)x²+10x=24
g) 25x²-10x-8=0
i)5 supra x-1=x-1 supra 45

Answer 1

c) x²-12x+36-3=0
x²-12+33=0
Δ=b²-4ac= 144-132=12
x1= (-b-√Δ) /2a= (12-√12)/ 2= (12-2√3)/2 = 2(6-√3)/2 = 6-√3
x2=(-b+√Δ)/2a= 6+√3

e)x²+10x- 24=0 
Δ=100+96= 196
x1= -12
x2=2

g) Δ=100+800=900
x1=-2/5
x2=4/5

i)Faci produsi de mezi egal cu produsi de extremi : (x-1)(x-1)= 5*45
x²-2x+1=225
x²-2x-224=0
Δ=4+896
Δ=900
x1=-14
x2= 16