Find a and b such that 2x2 + 8x + a = 2(x + b)2. Homework Help ✎
Expand the right side of the equation.
Subtract 2x2 from both sides of the equation.
One solution would be if 8x equaled 4bx and
a equaled 2b2.
2x2 + 8x + a = 2x2 + 4bx + 2b2
8x + a = 4bx + 2b2
b = 2 and a = 8