Use the quadratic formula to solve. Express your answer in simplest form.2, n, squared, minus, 9, n, plus, 5, equals, 2, n2n 2 −9n+5=2n

The given equation seems to be a bit confusing. However, if you're referring to the quadratic equation 2n^2 - 9n + 5 = 2n, we first need to rearrange it to the standard form of a quadratic equation, which is ax^2 + bx + c = 0.

So, the equation becomes 2n^2 - 9n - 2n + 5 = 0, which simplifies to 2n^2 - 11n + 5 = 0.

Now we can apply the quadratic formula, which is x = [-b ± sqrt(b^2 - 4ac)] / (2a).

Here, a = 2, b = -11, and c = 5.

Substituting these values into the quadratic formula gives:

n = [11 ± sqrt((-11)^2 - 425)] / (2*2) n = [11 ± sqrt(121 - 40)] / 4 n = [11 ± sqrt(81)] / 4 n = [11 ± 9] / 4

This gives us the two solutions:

n = (11 + 9) / 4 = 20 / 4 = 5 n = (11 - 9) / 4 = 2 / 4 = 0.5

So, the solutions to the equation 2n^2 - 9n + 5 = 2n are n = 5 and n = 0.5.