Question

if alpha beta are the zeros of p(x) =5xsq.+2x-3 then prove alpha/beta+beta /alpha =-34/15

Answer 1

Answer:

Step-by-step explanation:

5x2+2x-3=0

5x2+5x-3x-3=0

5x(x+1)-3(x+1)=0

(5x-3)(x+1)=0

5x-3=0    or   x+1=0

x=3/5    or x=-1

alpha=3/5   beta=-1

L.H.S    alpha/beta+beta/alpha

3/5 X 1/-1 + -1 X 5/3= -3/5+(-5/3)

=-9-25/15

=-34/15

L.H.S= R.H.S

hence proved