Question

If alpha and beta are the zeros of the quadratic polynomial X square + 5 x + 4 then Alpha minus beta is equal to

Answer 1

Step-by-step explanation:

$x {}^{2} + 5x + 4 \\ x {}^{2} + 4x + x + 4 = 0 \\ x(x + 4) + 1(x + 4) = 0 \\ (x + 1)(x + 4) = 0 \\ \times = - 1 \: or \: x = - 4 \\ given \: \alpha \: and \: \beta \: are \: zeroes \: of \: polynomial \\ \alpha = - 1 \: and \: \beta = - 4 \\ to \: show \: that \: \alpha - \beta \\ ( - 1) - ( - 4) \\ - 1 + 4 \\ = 3$