2a2 – 46a + 252 = 0

To solve the quadratic equation 2a^2 - 46a + 252 = 0, we can use the quadratic formula or attempt to factor the equation.

The quadratic formula is given by:

a = (-b ± √(b^2 - 4ac)) / 2c

For our equation, a = 2, b = -46, and c = 252.

Plugging these values into the formula, we get:

a = (46 ± √((-46)^2 - 4(2)(252)) / (2(2))

a = (46 ± √(2116 - 2016)) / 4

a = (46 ± √100) / 4

Now, we have two possible solutions:

a = (46 + 10) / 4 = 56 / 4 = 14

a = (46 - 10) / 4 = 36 / 4 = 9

So, the solutions for the equation 2a^2 - 46a + 252 = 0 are a = 9 and a = 14.