Answer:
X= 2, -[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Y= 2X²-X-6
Quadratic Formula
If Y= ax²+bx+c then X =[tex]\frac{-b± \sqrt{b^{2} -4ac}}{2a}[/tex]
Comparing with question,
a=2, b=-1, c=-6
Substituting into quadratic formula
X=[tex]\frac{-(-1)±\sqrt{(-1)^{2} -4(2)(-6)} }{2(2)}[/tex]
X=[tex]\frac{1±\sqrt{1+48} }{4}[/tex]
X= [tex]\frac{1±\sqrt{49} }{4}[/tex]
X=[tex]\frac{1±7}{4}[/tex]
X=[tex]\frac{1+7}{4} or \frac{1-7}{4}[/tex]
X=[tex]\frac{8}{4} or \frac{-6}{4}[/tex]
X= 2 or [tex]-\frac{3}{2}[/tex]
* Â is not part of the equation
