Question

encontre a raíz (x+4)²=6x+16​

Answer 1

Vamos lá!

$(x + 4) {}^{2} = 6x + 16 \\ \\ {x}^{2} + 8x + 16 = 6x + 16 \\ \\ {x}^{2} + 8x - 6x + 16 - 16 = 0 \\ \\ {x}^{2} + 2x = 0 \\ \\ x(x + 2) = 0 \\ \\ {x}^{I} = 0 \\ \\ x + 2 = 0 \\ \\ {x}^{II} = - 2 \\ \\ \pink{ \boxed{ \boxed{S = [-2,0]}}}$