Question

if alpha and beta are the zeros of the polynomial x square - 4 x + 4 then one by alpha + 1 by beta is
equal to what​

Answer 1

Answer:

since polynomial is

$ax {}^{2} + bx + c = 0$

$\alpha + \beta = - b \div a$

$\alpha \beta = c \div a$

therefore

$1 \div \alpha + (1 \div \beta ) = (\alpha + \beta ) \div \alpha \beta$

$= - b \div c$

=1

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