Question

if alpha and bita are the roots of the following equation 5x^2-3x-2=0 then find the equation whose roots are alpha square/bita and bita square/alpha​

Answer 1

Answer:

alpha^2/beta + bita^2/alpha

(alpha^2 + bita^2)/alphabeta

[(alpha + beta)^2 - 2alphabeta] ÷ alphabeta

[(-b/a)^2 - 2(c/a)] ÷ c/a

[9/25 + 4/5] ÷ -2/5

[9/25 + 20/25] ÷ -2/5

29/25 ÷ -2/5

29/25 × -5/2

-145/50

-2.9