Question

x²+2x+1=7+4√3va rogg repeddee

Answer 1

x²+2x+1=${7+4 \sqrt{3} }$
${7+4 \sqrt{3} }= 2^{2}+2*2* \sqrt{3}+( \sqrt{3} )^{2}= \\ = (2+ \sqrt{3} )^2}$
x²+2x+1=x²+x+x+1=x(x+1)+1(x+1)=(x+1)(x+1)=(x+1)²
(x+1)²=(2+√3)²
x+1=+-(2+√3)
x+1=2+√3
x=2+√3-1=>x₁=1+√3
x+1= -2-√3
x= -2-√3-1=>x₂=-3-√3
Bafta la scoala! ;D