Express #4x^2+32x+55# in the form #(ax+b)^2+c#, where a, b and c are constants and a is positive?
Is the question correct? The normal format for this question type is completing the square
You can change any equation you wish into the format you wish as long as you add to it a correction that if applied with transform it back again.
A bit like
then determine the value of
I was challenged once on a point so I am doing it this way:
For each change we must include a correction. The value of this correction will be different as we proceed step-wise through the modifications on the path to the final format.
At this point
Factor out the 4
Assuming your question is correct.
'Forcing' the completed square solution in my other answer into this format we have: