Define \(E(a,b,c) = a \cdot b^2 + c\) . What value of \(a\) is the solution to the equation \(E(a,4,5) = E(a,6,7)\)
We have that
a*4^2 + 5 = a*6^2 + 7 simplify
16a + 5 = 36a + 7 rearrange as
-2 = 20a divide both sides by 20
-2/20 = a = - 1/10