Solve the quadratic equation 2x2−5x+2=0 using the quadratic formula.(1 point) Responses x = 1/2, x = -2 x = 1/2, x = -2 x = -1/2, x = -2 x = -1/2, x = -2 x = 1/2, x = 2 x = 1/2, x = 2 x = -1/2, x = 2 x = -1/2, x = 2
To solve the quadratic equation 2x^2 - 5x + 2 = 0 using the quadratic formula, we have:
a = 2, b = -5, c = 2
The quadratic formula is: x = (-b ± sqrt(b^2 - 4ac)) / 2a
Plugging in the values, we get: x = (5 ± sqrt((-5)^2 - 4*2*2)) / 2*2
x = (5 ± sqrt(25 - 16)) / 4
x = (5 ± sqrt(9)) / 4
x = (5 ± 3) / 4
Therefore, x = (5 + 3) / 4 or x = (5 - 3) / 4
x = 8 / 4 or x = 2 / 4
x = 2 or x = 1/2
So, the solutions to the quadratic equation 2x^2 - 5x + 2 = 0 are x = 1/2 and x = 2.
Therefore, the correct response is x = 1/2, x = 2.