Question

If α and β are the roots of the quadratic equation x2 - 4x - 6 = 0, find

the values of (i) α2

+ β2 (ii) α3

+ β3​

Answer 1

Answer:

we know that we can calculate the roots by -b-√b^2-4ac/2a and-b+√b^2-4ac/2a

so here b=-4, a=1, c=-6

so by calculating we will get Alpha=2-√5

and Beta=2+√5

so (Alpha)^2+(Beta) ^2=18

(Alpha) ^3+(Beta) ^3=56