Determine the x x

Algebra Level 2

x + 4 3 3 3 x + 4 5 5 5 x + 1 = 0 \large \left|\begin{matrix}x+4 & 3 & 3 \\ 3 & x+4 & 5 \\ 5 & 5& x+1 \end{matrix}\right|=0

What is the positive value of x ? \large x?


The answer is 3.

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1 solution

E Koh
Dec 24, 2017

Matrix can be rewritten as x^3+9x^2-25x-33=0 (x+1)(x-3)(x+11)=0 X= -1, -11, 3.

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