Question

If -4 is a zero of quadratic equation x²-5x+k find value of k

Answer 1

since -4 is a zero of the quadratic equation, it satisfies its value, putting which the ultimate value of the equation becomes zero.

${x }^{2} - 5x + k = 0 \: ... \\ ... \: when \: x = - 4 \\ \\ hence \\ {( - 4)}^{2} - 5( - 4) + k = 0 \\ 16 + 20 + k = 0 \\ 36 + k = 0 \\ k = - 36$

Answer 2

Step-by-step explanation:

x^2-5x+k=0

( -4 )^2 -5 ( -4 )+k=0

16+20+k=0

36+k=0

k=-36