Question

if α and β are zeroes of polynmial x²-5x+k and α²+β²=15
then value of k is​

Answer 1

Step-by-step explanation:

above is the answer of the provided question

Answer 2

$x^{2} - 5x + k \\ \alpha + \beta = - b \div a \\ \alpha + \beta = - (- 5) \div 1 \\ \alpha + \beta = 5 \\ \alpha \beta = c \div a \\ \alpha \beta = k \\ \alpha^{2} + \beta^{2} = 15 \\ ( \alpha + \beta ) ^{2} - 2 \alpha \beta = 15 \\ 5^{2} - 2k = 15 \\ 25 - 2k = 15 \\ - 2k = - 10 \\ k = 5$

K= 5