Question

Rezolvati in R ecuatia 2x²-9(x-1)=(x-3)

Answer 1

2x²-9(x-1)=(x-3)

2x²-9x+9=x-3

2x²-9x-x+9+3=0

2x²-10x+12=0

Δ=100-4*2*12=100-96=4

x1=10+2/4=12/4=3

x2=10-2/4=8/4=2

x∈{2,3}

Verificare:

2*2²-9(2-1)=2-3

8-9=-1

2*3²-9(3-1)=3-3

18-9*2=0

Solutiile satisfac ecuatia initiala, deci sunt bune.