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.