Question

if alpha and beta are zeros of polynomialx^2-12x+32. find the value of Alpha upon beta + beta upon Alpha?

Answer 1

Answer:

x^2-12x+32

first we find the zeroes of this polynomial:

Sum of roots=α+β=-b/a=-(-12)=12

product of roots=α x α=c/a=32

now we will simplify α/β+β/α

α/β+β/α=α^2+β^2/αβ

=(α+β)^2-2αβ/αβ

now we'll substitute the values:

(12)^2-2(32)/32=144-64/32

=80/32=5/2

therefore, α/β+β/α=5/2

hope it helps

Step-by-step explanation: