Digital SAT Math Practice Question #1306
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Vieta's shortcut: Set $x^2 - 2x + 1 = 3x - 5 \implies x^2 - 5x + 6 = 0$. Sum of roots is $-b/a = -(-5)/1 = 5$ without factoring!
Set the equations equal: $x^2 - 2x + 1 = 3x - 5 \implies x^2 - 5x + 6 = 0$. By Vieta's formulas, for a quadratic equation $ax^2 + bx + c = 0$, the sum of the roots is $-b/a = -(-5)/1 = 5$....
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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