1.

For what values of p and q, the expression,x⁴ - 14x³ + 71x² + px +q is a perfect square?​

Answer»

Answer:

p=-546, q=1521;;;

Step-by-step explanation:

let me assume that the square ROOT of the equation is a quadratic equation

x^2+ax+b=0;(x^2 coefficient is 1 CUZ we can infer from the equation in the QUESTION)

so (x^2+ax+b)^2=x^4-14^3+71x^2+px+q

compare the coefficients after EXPANDING the equation

do the math you will find a=-7 b=39

comparsion GIVES p=2ab q=b^2

so p=-546 q=1521

this m8 help:)


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