I have been struggling with the following problem for a while now and the problem and I cannot even find the right solution after I went to my professors office hours.

So the problem is is the following:

let p(x)=-5+4x+4x^2

Find the largest delta so that absolute value of (p(x)-P(2.3)< 0.00033 when absolute value (x-2.3)<delta.

I have tried plugging in 2.3 for p and add 0.00033 to it and then equal it to p(x) and solve for x. I would then use the x closest to 2.3 and plug it in for the absolute value of (x-2.3) . But my answer is apparently wrong and I cannot seem to figure out why. I would really appreciate if someone could help me solve this!