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