# MAT - Paper 2007 - Q1F

> Source: https://ollybritton.com/notes/maths/problems/mat/2007/q1f/ · Updated: 2021-10-14 · Tags: mat, notes, maths

## Flashcards
### 2021-10-14
##### $$x^3 - x^2 - 4x + 4 = 0$$ Why can't this cubic have only 2 real solutions??
Because that would leave one complex root which isn't allowed as roots only come in pairs.

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