Question

find the roots of the quadratic equation using formula method x²+3x+1​

Answer 1

Answer:

$a = 1 \: \: b = 3 \: \: c = 1$

${b }^{2} - 4ac = {3}^{2} - 4 \times 1 \times 1$

${b}^{2} - 4ac = 9 - 4$

${b}^{2} - 4ac = 5$

$x = \frac{ - b + - \sqrt{ {b }^{2} - 4ac} }{2a }$

$x = \frac{ - 3 + - \sqrt{5} }{2}$

$x = \frac{ - 3 + \sqrt{5} }{2} or \: x = \frac{ - 3 - \sqrt{5} }{2}$