Answer:
x = 1 and x = [tex]\frac{-4}{5}[/tex]
Step-by-step explanation:
In this equation, a=5, b=-1, c=-4.
Plug these into the quadratic formula:
x = [tex]\frac{1+\sqrt{-1^{2}-(-4)(5)(-4) } }{2(5)}[/tex] and x = [tex]\frac{1-\sqrt{-1^{2}-(-4)(5)(-4) } }{2(5)}[/tex]
Now, simplify the equations:
x = [tex]\frac{1+\sqrt{81} }{10}[/tex] = [tex]\frac{1+9}{10}[/tex] = [tex]\frac{10}{10}[/tex] = 1
and
x = [tex]\frac{1-\sqrt{81} }{10}[/tex] = [tex]\frac{1-9}{10}[/tex] = [tex]\frac{-8}{10}[/tex] = [tex]\frac{-4}{5}[/tex]
