Question

If α and β are the zeroes of the polynomial x² + 5x + 1, then the value of (α - β)² is​

Answer 1

Answer:

21

Step-by-step explanation:

we know that

$we \: know \: that \: \\ \alpha + \beta = \frac{ - b}{a} = - 5 \\ \alpha \times \beta = \frac{c}{a} = 1$

$now \\ {( \alpha - \beta )}^{2} = {( \alpha + \beta )}^{2} - 4 \alpha \beta \\ {( \alpha - \beta )}^{2} = {( - 5)}^{2} - 4 \times 1 \\ = 25 - 4 \\ = 21$