Answer:
The answer is : x = 9.505 and x = -1.005
Step-by-step explanation:
To solve the quadratic equation use the formula :
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
Where a is the coefficient of x² , b is the coefficient of x and c is the numerical term
∵ a = 18 , b = -153 and c = -172
∴ [tex]x=\frac{-(-153)+\sqrt{(-153)^{2}-4(18)(-172) } }{2(18)}[/tex]
[tex]x = \frac{18+\sqrt{35793} }{36} &x=\frac{18-\sqrt{35793} }{36}[/tex]
∴ x = 9.505 and x = -1.005