## The equation ({log _2}frac{{{x^2} + 3x + 2}}{{3{x^2} – 5x + 8}} = {x^2} – 4x + 3) has solutions ( {x_1};{x_2}). Calculate the value of the expression (A = x_1^2 + x_2^2 – 3{x_1}{x_2}). – Math book

The equation $${\log _2}\frac{{{x^2} + 3x + 2}}{{3{x^2} – 5x + 8}} = {x^2} – 4x + 3$$ there are solutions $${x_1};{x_2}$$. Calculate the value of the expression $$A = x_1^2 + x_2^2 – 3{x_1}{x_2}$$.
A. $$31$$. B. $$– 1$$. C. $$1$$. D. $$– 31$$.
Condition: $$\frac{{{x^2} + 3x + 2}}{{3{x^2} – 5x + 8}} > 0$$$$\Leftrightarrow {x^2} + 3x + 2 > 0$$$$\Leftrightarrow \left[\begin{array}{l}x>–1\\x0)$$;\(f’