Question

Solve the equation x^2-4x-9=29

Answer 1

Answer:

x² - 4x - 9 = 29

x² - 4x - 9 - 29 = 0

x² - 4x - 38 = 0

Using the quadratic formula

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

Where

a = 1 , b = -4 c = - 38

So we have

$x = \frac{ - - 4± \sqrt{ { - 4}^{2} - 4(1)( - 38)} }{2(1)} \\ \\ x = \frac{4± \sqrt{16 +152 } }{2} \\ \\ x = \frac{4± \sqrt{168} }{ 2} \\ \\ x =2 ± \sqrt{42} \\ \\ \\ x = 2 + \sqrt{42} \: \: \: or \: \: \: x = 2 - \sqrt{42}$

Hope this helps you