Question

if alpha(@) and beta are zeroes of the polynomial x square -5x+k such that alpha(@)-beta=1. find the value of k

Answer 1

Heya here ...☺☺

Solution is given below.
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By using the relationship between the zeros of the Polynomial

we have -
$sum \: \: of \: \: zeroes = \frac{ - (coefficient \: \: of \: x)}{coefficient \: \: of \: {x}^{2} } \\ \\ product \: \: of \: zeroes = \frac{constant \: \: term}{coefficient \: \: of \: {x}^{2} } \\ \\ = > \alpha + \beta = \frac{ - ( - 5)}{1} \: \:and \: \: \: \alpha \beta = \frac{k}{1} \\ \\ solving \: \: \: \alpha - \beta = 1 \: \: and \: \\ \alpha + \beta = 2 \\ \\ we \: get \: \: \\ \alpha = 3 \: \: \: \: and \: \: \: \beta = 2$
substituting these values in αβ = Κ/1,

we get
The value of k = 6
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HOPE it's helps you.

Answer 2

Answer:

Step-by-step explanation: