Sqrt(x^2+5x+1)+1=2 x pozhalusta pomogite gos

Question

Sqrt(x^2+5x+1)+1=2 x pozhalusta pomogite gos

Answer 1

=2x-1
2x-1≥0⇒2x≥1⇒x≥0,5⇒x∈[0,5;≈)
x²+5x+1=(2x-1)²
4x²-4x+1-x²-5x-1=0
3x²-9x=0
3x(x-3)=0
x=0∉[0,5;≈)
x=3