Answer:
x=2.81 or x=0.219
Step-by-step explanation:
We are given, the equation;
2x² + 1 = 5x
We are required to solve the equation;
Rearranging the equation;
2x² - 5x + 1 = 0
We can solve the equation using quadratic formula;
[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
In this case;
a = 2, b = -5 and c=1
Therefore;
[tex]x=\frac{5+/-\sqrt{5^2-4(2)(1)} }{2(2)}[/tex]
[tex]x=\frac{5+/-\sqrt{17} }{4}[/tex]
[tex]x= \frac{5+\sqrt{17} }{4}[/tex] or [tex]x=\frac{5-\sqrt{17} }{4}[/tex]
Therefore;
[tex]x=2.81[/tex] or [tex]x=0.219[/tex]
