Question

if a and B are the zeroes of the quadratic polynomial x2-x-20 find alpha and beta

Answer 1

Step-by-step explanation:

${x}^{2} - x - 20 = 0 \\ {x}^{2} - 5x + 4x - 20 = 0 \\ x(x - 5) + 4(x - 5) = 0 \\ (x - 5)(x + 4) = 0 \\ x - 5 = 0 \: \: \: \: \: x + 4 = 0 \\ x = 5 \: \: \: \: \: \: \: x = - 4 \\ \alpha = 5 \: \: \: \: \beta = - 4$

Hope you get your answer