The sum and product of $m$ and $n$ are $18$ and $77$ respectively. Find the value(s) of \(m-

Question

The sum and product of $m$ and $n$ are $18$ and $77$ respectively. Find the value(s) of $m-n$. It is given that $x^2-6x+1=0$. Without using a calculator, find the value of $x^4+\frac{1}{x^4}$.

Accepted Answer

(a) $m-n=4$ or $-4$ (b) $1154$

Quadratic Functions, Equations and Inequalities - Evaluating Expressions using Special Identities

Quadratic Functions, Equations and Inequalities - Evaluating Expressions using Special Identities

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