Answer:
x² - 4x - 9 = 29
x² - 4x - 9 - 29 = 0
x² - 4x - 38 = 0
Using the quadratic formula
[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
Where
a = 1 , b = -4 c = - 38
So we have
[tex]x = \frac{ - - 4± \sqrt{ { - 4}^{2} - 4(1)( - 38)} }{2(1)} \\ \\ x = \frac{4± \sqrt{16 +152 } }{2} \\ \\ x = \frac{4± \sqrt{168} }{ 2} \\ \\ x =2 ± \sqrt{42} \\ \\ \\ x = 2 + \sqrt{42} \: \: \: or \: \: \: x = 2 - \sqrt{42} [/tex]
Hope this helps you
