Question

If Alpha and beta the zeroes of the polynomial p(x) = x square -14x+15 find the value of Alpha square and beta square

Answer 1

Answer:

-224

Step-by-step explanation:

$given \: by \: eq. \\ {x}^{2} - 14x + 15 = p(x) \\ \alpha + \beta = \frac{ - b}{a} = 14 \\ \alpha \beta = \frac{c}{a} = \frac{ 15}{1} = 15\\ we \: find \: us \\ { \alpha }^{2} + { \beta }^{2} \\ {( \alpha + \beta )}^{2} - 2 \alpha \beta \\ {14}^{2} - 2 \times 15 \times 14 \\ 196 - 420 = - 224 \: ans$

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