Question

if alpha beta are zeros of the polynomial p x is equals to 4 x square - 6 X + 1 find the then find the value of first one upon alpha + 1 upon beta II Alpha squire Plus Bita squire third the help of a cube plus b cube​

Answer 1

Step-by-step explanation:

Let roots be a, b

Sum of roots is a+b = - (coefficient of X) /coefficient of X^2

a+b = 6/4 =3/2 =1.5

Product of roots is

ab = constant /coefficient of X^2

ab=1/4 =0.25

1/a + 1/b =. a+b/ab = 1.5/0.25 = 6

a^2+b^2 = (a+b) ^2 - 2*ab = (1.5)^2 - 2*0.25

=2.25-0.5 = 1.75

A^3+b^3 = (a+b) ^3 - 3ab(a+b)

= (1.5)^3 - 3*1.5*0.25

=2.25