Question

if p and q are the zeros of f(x)=x^2 - 5 x + K such that P - Q = 1 find the value of k ​

Answer 1

Answer:

$p - q = 1 \\ squaring \: both \: side \: \\ {(p - q)}^{2} = {1}^{2} \\ {(p + q)}^{2} - 4pq = 1 \\ ( \frac{ - 5}{1} )^{2} - \frac{k}{1} = 1 \\ 25 - k = 1 \\ 25 - 1 = k \\ k = 24$