Step-by-step explanation: 5.1: good health habits
Answer:The answer on x² + 7x = -6 is x1 = -6, x2 = -1Solution:[tex]{x}^{2} + 7x = - 6[/tex][tex] {x}^{2} + 7x + 6 = 0[/tex][tex]a = 1[/tex][tex]b = 7[/tex][tex]c = 6[/tex][tex]x = \frac{ -b + \sqrt{ {b}^{2} - 4ac } }{2a} [/tex][tex]x = \frac{ - 7 + \sqrt{ {7}^{2} - 4 \times 1 \times 6} }{2 \times 1} [/tex][tex]x \frac{ - 7 + \sqrt{ {7}^{2} - 4 \times 6 } }{2 \times 1} [/tex][tex]x = \frac{ - 7 + \sqrt{49 - 4 \times 6} }{2} [/tex][tex]x = \frac{ - 7 + \sqrt{49 - 24} }{2} [/tex][tex]x = \frac{ - 7 + \sqrt{25} }{2} [/tex][tex]x = \frac{ - 7 + 5}{2} [/tex][tex]x \frac{ - 7 + 5}{2} \\ x = \frac{ - 7 - 5}{2} [/tex][tex]x = - 1 \\ x = - 6[/tex][tex]x1 = - 6 \\ x2 = - 1[/tex]