Question

solutia ecuatiei (x+1)²=1
solutia ecuatiei x²-1=1
solutia ecuatiei x²+6x+9=16
solutia ecuatiei (x+2²)-4=0

Answer 1

(x+1)²=1
x²+2x+1=1
x²+2x=0
Δ=4-4=0
=>x₁=x₂=(-2)/2=(-1)

 x²-1=1
x²-2=0
Δ=8=>√Δ=2√2
x₁=-2√2/2=(-√2)
x₂=2√2/2=√2

x²+6x+9=16
x²+6x-7=0
Δ=36+28
Δ=64
√Δ=8
x₁=(-6-8)/2=(-7)
x₂=(-6+8)/2=1

(x+2²)-4=0
x²+4x+4-4=0
x²+4x=0
Δ=16-4=12
√Δ=2√3
x₁=(-4-2√3)/2=-2(√3+2)/2=2-√3
x₂=(-4+2√3)/2=-2(2-√3)/2=√3-2