Question

Determinati valoarea lui x pentru care are loc egalitatea: (x+1)²=49

Answer 1

(x+1)²=49
x+1=l49l
x+1=7
x=6
x+1=-7
x=-8
valorile sunt x=6/-8.

Answer 2

(x+1)²=49⇒x²+2x+1=49⇒x²+2x+1-49⇒x²+2x-48=0
a=1
b=2
c=-48
Δ=b²-4ac⇒Δ=(2)²-4×1×(-48)⇒Δ=4+192⇒Δ=196⇒√Δ=196⇒Δ=14
x1x2=-b+-√Δ/2a
x1=-2+14/2⇒12/2⇒x1=6
x2=-2-14/2⇒-16/2⇒x2=-8
sucees