Question

Como responder a equação (x+2√(4−²))²= (4)²

Answer 1

$(x+2 \sqrt{4^{-2}})^2=4^2 \\ (x+2.4^{-1})^2=4^2 \\ x^2+2^2.(4^{-1})^2=4^2 \\ x^2+2^2.4^{-2}=4^2 \\ x^2+4. (\frac{1}{4})^2=4^2 \\ x^2+4. \frac{1}{16}=16 \\ x^2+ (\frac{4}{16}):4=16 \\ x^2+ \frac{1}{4}=16 \\ x^2+1=16.4 \\ x^2=64-1 \\ x^2=63 \\ x= \sqrt{63}$