Solve the quadratic equation by completing the square.QUESTION ATTCHED BELOW!!!!!!!!!!

Answer:x ≈ - 9.41, x ≈ - 6.59Step-by-step explanation:Givenx² + 16x + 62 = 0 ( subtract 62 from both sides )x² + 16x = - 62To complete the squareadd ( half the coefficient of the x- term )² to both sidesx² + 2(8)x + 64 = - 62 + 64(x + 8)² = 2 ( take the square root of both sides )x + 8 = ± [tex]\sqrt{2}[/tex] ( subtract 8 from both sides )x = - 8 ± [tex]\sqrt{2}[/tex]Hencex = - 8 - [tex]\sqrt{2}[/tex] ≈ - 9.41x = - 8 + [tex]\sqrt{2}[/tex] ≈ - 6.59