Question

Quais são as raízes da equação (x - 1)² + 8(x + 1) = 0?​

Answer 1

As raízes da equação são:

${{\boxed{{\boxed{\Large{\boxed{\rm { x=-3 \: }}}}}}}}$

Montando a equação:

$(x-1)^{2} +8\:(x+1)=0\\\\x^{2} -2x+1+8\:(x+1)=0\\\\x^{2} -2x+1+8x+8=0\\\\x^{2} +6x+1+8=0\\\\x^{2} +6x+9=0\\\\a+b=6\\ab=9\\\\1,9\\3,3\\\\1+9=10\\3+3=6\\\\a=3\\b=3\\\\(x+3)\:(x+3)\\\\(x+3)^{2}\\\\x=-3$

${{\boxed{{\boxed{\blue{\boxed{\Large{\rm { ATT: Miguel \: }}}}}}}}}$