Question

if alpha and beta are the zeros of the quadratic polynomial P of X equal to 4 x square - 5 x minus 1 find the value of Alpha square beta + alpha beta square​

Answer 1

p(x)=4x^2-5x-1

$\alpha + \beta = - b \div a = - ( - 5) \div 4 = 5 \div 4$

$\alpha \beta = c \div a = - 1 \div 4$

${\alpha }^{2} + { \beta }^{2} = \alpha + \beta - 2 \alpha \beta$

=5/4+1/2

=7/4