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

Solve the equation for  x  by finding  a ,  b , and  c of the quadratic then applying the quadratic formula

Exact form:

x =  5 ± √ 17

     4

Decimal:

x =  2.28077640 … , 0.21922359

sorry idk how to put a fraction in

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.

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step-by-step explanation: