Question

09. In a quadratic polynomial, if the sum of squares of the zeroes is 29 and the sum of the zeroes is 3, th
find the polynomial.​ answer

Answer 1

Answer:

$suppose \: \: that \: \: zero \: \: is \: \: = \alpha \: \: and \: \: \beta \\ \\ \alpha + \beta \: = 3 \\ \\ { \alpha }^{2} + { \beta }^{2} = 29 \\ \\ {( \alpha + \beta )}^{2} - 2 \alpha \beta = 29 \\ \\ 9 - 2 \alpha \beta = 29 \\ \\ \alpha \beta = - 10 \\ \\ quadratic \: \: equation \: \: = > \\ \\ {x}^{2} - 3x - 10 = 0$