Answer:
x = 5.61 or -1.61
Step-by-step explanation:
[tex] x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
6x² - 24x - 54 = 0
6(x² - 4x - 9) = 0
x = [4+-√(4²)-4(1)(-9)]/2(1)
= (4+√52)/2
= 5.61
= (4-√52)/2
= -1.61