Question

Rezolvati ecuatia: (x-5)totul la patrat +3(x-6)=1

Answer 1

(x-5)²+3(x-6)=1
x²-10x+25+3x-18=1⇒x²-7x+25-18-1=0⇒
x²-7x+6=0⇒
a=1
b=-7
c=6
Δ=b²-4ac⇒49-24⇒Δ=25⇒√Δ=√25⇒Δ=5
x1x2=-b+-√Δ/2a⇒
x1=7+5/2⇒12/2⇒x1=6
x2=7-5/2⇒2/2⇒x2=1
sucees