If 2x2 - 7x + 5 = 0, then what is the value of x^2 + 254x^2?

Answer: Option B

$$\begin{array}{rl}& 2x^2-7x+5=0\\ & 2x+\frac{5}{x}=7\\ & x+\frac{5}{2x}=\frac{7}{2}\\ & {\left(x+\frac{5}{2x}\right)}^2={\left(\frac{7}{2}\right)}^2\\ & x^2+\frac{25}{4x^2}+2\times x\times \frac{5}{2x}=\frac{49}{4}\\ & x^2+\frac{25}{4x^2}=\frac{49}{4}-5\\ & x^2+\frac{25}{4x^2}=\frac{29}{4}\\ & x^2+\frac{25}{4x^2}=7\frac{1}{4}\end{array}$$