Question

if alpfa,B are the zero of the polynomial f(x)= x2- 5x+ k such that alpfa -B= 1, find the value of k=?​

Answer 1

Answer:

$\alpha - \beta = ( \sqrt{discrimant )} \div a \\ ( \sqrt{b { }^{2} - 4ac} ) \div a \\ ( \sqrt[]{25 - 4k)} = 1 \\ squaring \: both \: sides \\ 25 - 4k = 1 \\ 4k = 24 \\ k = 6 \: ans$

function is x^2-5x+k

so a=1,b=-5,c=5

Hope its helpful.