Answer:
x = 1.54 or x = - 4.54 to 2 decimal places
Step-by-step explanation:
x² + 3x - 7 = 0
Using the quadratic formula
a = 1 b = 3 c = - 7
[tex]x = \frac{3 ± \sqrt{ {3}^{2} - 4(1)( - 7) } }{2(1)} \\ x = \frac{ - 3± \sqrt{9 + 28} }{2} \\ \\ x = \frac{ -3 ± \sqrt{37} }{2} \\ \\ x = \frac{ - 3 + \sqrt{37} }{2} \: \: \: \: \: or \: \: \: x = \frac{ - 3 - \sqrt{37} }{2} \\ \\ x = 1.54 \: \: \: or \: \: x = - 4.54[/tex]
Hope this helps you
