Question

5. Find the roots of the following x2 + 4x + 5 = 0 by suing formula method.​

Answer 1

Answer:

${x}^{2} + 4x + 5 = 0 \\ \\ a \: = 1 \: b \: = 4 \: c \: = 5 \\ \\ using \: formula \: method \\ \\ x = \frac{ - b \sqrt{ {b}^{2} - 4ac } }{2 a} \\ \\ x = \frac{ - 4 \sqrt{ {4}^{2} - 4 \times 1 \times 5 } }{2 \times 1} \\ \\ x = \frac{ - 4 \sqrt{16 - 20} }{2} \\ \\ x = \frac{ - 4 \sqrt{ - 4} }{2} \\ \\ x = - 2 \sqrt{ - 4} \\ \\ x = - 2 + - 2 \\ \\ taking \: + \\ \\ x = - 2 + 2 \\ x = 0 \\ \\ taking \: - \\ \\ x = - 2 - 2 \\ x = - 4$