Quadratic formula:
[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]
What do we have:
a=4
b=-10
c=5
Substitude:
[tex]x=\frac{10±\sqrt{b^{2}-4(4)(5)}}{2(a)}[/tex]
Solve:
[tex]x=\frac{10±\sqrt{(-10)^{2}-4(4)(5)}}{2(4)}\\\\x=\frac{10±\sqrt{100-4(20)}}{8}\\\\x=\frac{10±\sqrt{100-4(20)}}{8}\\\\x=\frac{10±\sqrt{100-80}}{8}\\\\x=\frac{10±\sqrt{20}}{8}\\\\x=\frac{10±2\sqrt{5 }}{8}\\\\x=\frac{2(±5\sqrt{5) }}{2(4)}[/tex]
Cancel the common terms:
[tex]x=\frac{5±\sqrt{5} }{4}[/tex]
