51.6k views
5 votes
Please help me with Alegbra 2!! Solve x2 + 4x + 1 = 0.

User Lavern
by
7.4k points

2 Answers

4 votes

Answer:

C on edgenunity

Explanation:

User Alisasani
by
7.5k points
5 votes

x^2+4x+1=0\\\\\underbrace{x^2+2x\cdot2+2^2}_((x+2)^2)-2^2+1=0\\\\use\ (a+b)^2=a^2+2ab+b^2\\\\(x+2)^2-4+1=0\\\\(x+2)^2-3=0\\\\(x+2)^2=3\iff x+2=\sqrt3\ or\ x+2=-\sqrt3\\\\\boxed{x=\sqrt3-2\ or\ x=-2-\sqrt3}
User Guillaume Slashy
by
7.4k points