Find the exact solutions to 2x^2=5x-1 by using the quadratic formula

The exact solution is (5 ± √17) / 4.

Step-by-step explanation:

2x^2 = 5x-1

2x^2 - 5x + 1 = 0

then,

a = 2, b = - 5, c = 1

Now, by using quadratic formula,

(-b±√ (b²-4ac)) / (2a)

(5 ± √ (-5) ^2 - 4 (2) (1)) / 2 * (2)

(5 ± √17) / 4.