Find the constants so that each identity is true for every value of $x$.

$ x^2-10x+k=(x-5)^2. $
$ 4x^2+px+9=(2x-3)^2. $

Question

Find the constants so that each identity is true for every value of $x$. $ x^2-10x+k=(x-5)^2. $ $ 4x^2+px+9=(2x-3)^2. $

Accepted Answer

(a) $k=25$ (b) $p=-12$

Quadratic Functions, Equations and Inequalities